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Dissertations / Theses on the topic 'Subspaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Chowdhury, Ameerah. "Colouring Subspaces." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1026.

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This thesis was originally motivated by considering vector space analogues of problems in extremal set theory, but our main results concern colouring a graph that is intimately related to these vector space analogues. The vertices of the <em>q</em>-Kneser graph are the <em>k</em>-dimensional subspaces of a vector space of dimension <em>v</em> over F<sub><em>q</em></sub>, and two <em>k</em>-subspaces are adjacent if they have trivial intersection. The new results in this thesis involve colouring the <em>q</em>-Kneser graph when <em>k</em>=2. There are two cases. When <em>k</em>=2 and <e

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2

Al, Sadoon Trujillo Majid. "Causality along subspaces." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609157.

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3

Ricks, Russell M. "Planar CAT(k) Subspaces." Diss., CLICK HERE for online access, 2010. http://contentdm.lib.byu.edu/ETD/image/etd3420.pdf.

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4

Savin, Anton, Bert-Wolfgang Schulze, and Boris Sternin. "Elliptic operators in subspaces." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2570/.

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We construct elliptic theory in the subspaces, determined by pseudodifferential projections. The finiteness theorem as well as index formula are obtained for elliptic operators acting in the subspaces. Topological (K-theoretic) aspects of the theory are studied in detail.

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5

Adams, Lynn I. "Classifying Triply-Invariant Subspaces." University of Akron / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1185565121.

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6

Savin, Anton, and Boris Sternin. "Elliptic operators in even subspaces." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2546/.

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An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.

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7

Savin, Anton, and Boris Sternin. "Elliptic operators in odd subspaces." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2547/.

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An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems. A connection with Gilkey's theory of η-invariants is established.

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8

Mahvidi, Ali. "Invariant subspaces of composition operators." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0020/NQ45739.pdf.

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9

POSTERNAK, REGINA. "INVARIANT SUBSPACES FOR HIPONORMAL OPERATORS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2002. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=3338@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>O problema do subespaço invariante consiste na seguinte pergunta: será que todo operador (i.e., transformação linear limitada) atuando em um espaço de Hilbert separável (complexo de dimensão infinita) tem subespaço invariante nãotrivial? Este é, possivelmente, o mais importante problema em aberto na teoria de operadores. Em particular, o problema do subespaço invariante permanece em aberto (pelo menos até a presente data) para operadores hiponormais, ou seja, ainda não se sabe se todo operador hiponormal (atuando em um espaço de

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10

Ahuja, Kapil. "Recycling Krylov Subspaces and Preconditioners." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/29539.

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Science and engineering problems frequently require solving a sequence of single linear systems or a sequence of dual linear systems. We develop algorithms that recycle Krylov subspaces and preconditioners from one system (or pair of systems) in the sequence to the next, leading to efficient solutions. Besides the benefit of only having to store few Lanczos vectors, using BiConjugate Gradients (BiCG) to solve dual linear systems may have application-specific advantages. For example, using BiCG to solve the dual linear systems arising in interpolatory model reduction provides a backward err

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11

Aguiar, Izabel Pirimai. "Dynamic Active Subspaces| A Data-driven Approach to Computing Time-dependent Active Subspaces in Dynamical Systems." Thesis, University of Colorado at Boulder, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10826096.

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<p> Computational models are aiding in the advancement of science – from biological, to engineering, to social systems. To trust the predictions of computational models, however, we must understand how the errors in the models’ inputs (i.e., through measurement error) affect the output of the systems: we must quantify the uncertainty that results from these input errors. Uncertainty quantification (UQ) becomes computationally complex when there are many parameters in the model. In such cases it is useful to reduce the dimension of the problem by identifying unimportant parameters a

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12

Mehrmann, Volker, and Hongguo Xu. "Lagrangian invariant subspaces of Hamiltonian matrices." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501133.

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The existence and uniqueness of Lagrangian invariant subspaces of Hamiltonian matrices is studied. Necessary and sufficient conditions are given in terms of the Jordan structure and certain sign characteristics that give uniqueness of these subspaces even in the presence of purely imaginary eigenvalues. These results are applied to obtain in special cases existence and uniqueness results for Hermitian solutions of continuous time algebraic Riccati equations.

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13

Howarth, Peter Dennis. "Discovering images : features, similarities and subspaces." Thesis, Imperial College London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445906.

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14

Bahreini, Esfahani Manijeh. "Complemented Subspaces of Bounded Linear Operators." Thesis, University of North Texas, 2003. https://digital.library.unt.edu/ark:/67531/metadc4349/.

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For many years mathematicians have been interested in the problem of whether an operator ideal is complemented in the space of all bounded linear operators. In this dissertation the complementation of various classes of operators in the space of all bounded linear operators is considered. This paper begins with a preliminary discussion of linear bounded operators as well as operator ideals. Let L(X, Y ) be a Banach space of all bounded linear operator between Banach spaces X and Y , K(X, Y ) be the space of all compact operators, and W(X, Y ) be the space of all weakly compact operators. We d

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15

Vuong, Thi Minh Thu University of Ballarat. "Complemented and uncomplemented subspaces of Banach spaces." University of Ballarat, 2006. http://archimedes.ballarat.edu.au:8080/vital/access/HandleResolver/1959.17/12748.

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"A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classi

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16

Wojtasinski, Justyna Agata. "Classifying Triply-Invariant Subspaces for p=3." Akron, OH : University of Akron, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=akron1209134757.

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Thesis (M.S.)--University of Akron, Dept. of Mathematics, 2008.<br>"May, 2008." Title from electronic thesis title page (viewed 07/12/2008) Advisor, Jeffrey M. Riedl; Faculty Readers, Ethel Wheland, Stuart Clay; Department Chair, Joseph Wilder; Dean of the College, Ronald F. Levant; Dean of the Graduate School, George R. Newkome. Includes bibliographical references.

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17

Mashreghi, Javad. "Admissible majorants for model subspaces of H." Thesis, McGill University, 2001. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=38081.

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Let theta be an inner function for the upper half plane. We are interested in the description of positive functions wx defined on R for which fx &les;wx, x∈R, for some non-zero f in the model space Ktheta of H2( R ). In the special case theta(x) = e isigmax, sigma > 0, the celebrated multiplier theorem of Beurling and Malliavin gives an almost complete solution. We give a general multiplier theorem applicable to all Ktheta with theta having a smooth argument on the real line. This result applies, in particular, to the spaces KB formed from Blaschke products B for the upper half plane, mer

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18

Seelmann, Albrecht [Verfasser]. "Perturbation theory for spectral subspaces / Albrecht Seelmann." Mainz : Universitätsbibliothek Mainz, 2014. http://d-nb.info/1059732785/34.

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19

Smith, Rachael Caroline. "Spectral densities and invariant subspaces of operators." Thesis, University of Leeds, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432300.

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20

Vuong, Thi Minh Thu. "Complemented and uncomplemented subspaces of Banach spaces." Thesis, University of Ballarat, 2006. http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/51906.

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"A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classi

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21

Vuong, Thi Minh Thu. "Complemented and uncomplemented subspaces of Banach spaces." University of Ballarat, 2006. http://archimedes.ballarat.edu.au:8080/vital/access/HandleResolver/1959.17/15540.

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"A natural process in examining properties of Banach spaces is to see if a Banach space can be decomposed into simpler Banach spaces; in other words, to see if a Banach space has complemented subspaces. This thesis concentrates on three main aspects of this problem: norm of projections of a Banach space onto its finite dimensional subspaces; a class of Banach spaces, each of which has a large number of infinite dimensional complemented subspaces; and methods of finding Banach spaces which have uncomplemented subspaces, where the subspaces and the quotient spaces are chosen as well-known classi

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22

Gaya, Jean-Baptiste. "Subspaces of Policies for Deep Reinforcement Learning." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS075.

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Ce travail explore les "Sous-espaces de politiques pour l'apprentissage par renforcement profond", introduisant une approche novatrice pour relever les défis d'adaptabilité et de généralisation dans l'apprentissage par renforcement profond (RL). Situé dans le contexte plus large de la révolution de l'IA, cette recherche met l'accent sur la transition vers des modèles évolutifs et généralisables en RL, inspirée par les avancées des architectures et méthodologies d'apprentissage profond. Elle identifie les limites des applications actuelles de RL, notamment pour atteindre une généralisation à tr

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23

Schulze, Bert-Wolfgang, Anton Savin, and Boris Sternin. "Elliptic operators in subspaces and the eta invariant." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2549/.

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The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.

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24

Savin, Anton, and Boris Sternin. "Pseudodifferential subspaces and their applications in elliptic theory." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2993/.

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The aim of this paper is to explain the notion of subspace defined by means of pseudodifferential projection and give its applications in elliptic theory. Such subspaces are indispensable in the theory of well-posed boundary value problems for an arbitrary elliptic operator, including the Dirac operator, which has no classical boundary value problems. Pseudodifferential subspaces can be used to compute the fractional part of the spectral Atiyah–Patodi–Singer eta invariant, when it defines a homotopy invariant (Gilkey’s problem). Finally, we explain how pseudodifferential subspaces can be used

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25

Ihler, Alexander T. (Alexander Thomas) 1976. "Maximally informative subspaces : nonparametric estimation for dynamical systems." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/86622.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2000.<br>Includes bibliographical references (p. 111-113).<br>by Alexander T. Ihler.<br>S.M.

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26

RAJSHIVA, ANSHUMAAN. "MINING STRUCTURED SETS OF SUBSPACES FROM HIGH DIMENSIONAL DATA." University of Cincinnati / OhioLINK, 2004. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1085667702.

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27

Musa, Mohamed Elhafiz Mustafa. "Towards Finding Optimal Mixture Of Subspaces For Data Classification." Phd thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1104512/index.pdf.

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In pattern recognition, when data has different structures in different parts of the input space, fitting one global model can be slow and inaccurate. Learning methods can quickly learn the structure of the data in local regions, consequently, offering faster and more accurate model fitting. Breaking training data set into smaller subsets may lead to curse of dimensionality problem, as a training sample subset may not be enough for estimating the required set of parameters for the submodels. Increasing the size of training data may not be at hand in many situations. Interestingly, the data in

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28

Lücking, Simon [Verfasser]. "The Daugavet Property and Translation-Invariant Subspaces / Simon Lücking." Berlin : Freie Universität Berlin, 2014. http://d-nb.info/1054163154/34.

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29

Sueess, Fabian. "Simultaneous Diophantine approximation on affine subspaces and Dirichlet improvability." Thesis, University of York, 2017. http://etheses.whiterose.ac.uk/18562/.

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We show that affine coordinate subspaces of dimension at least two in Euclidean space are of Khintchine type for divergence. For affine coordinate subspaces of dimension one, we prove a result which depends on the dual Diophantine type of the base point of the subspace. These results provide evidence for the conjecture that all affine subspaces of Euclidean space are of Khintchine type for divergence. We also prove a partial analogue regarding the Hausdorff measure theory. Furthermore, we obtain various results relating weighted Diophantine approximation and Dirichlet improvability. In particu

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30

Jiang, Jiaosheng. "Bounded operators without invariant subspaces on certain Banach spaces." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3037506.

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31

Dietl, Guido Karl Erich. "Linear estimation and detection in Krylov subspaces with 11 tables /." Berlin [u.a.] : Springer, 2007. http://d-nb.info/985559144/34.

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32

Dietl, Guido Karl Erich. "Linear estimation and detection in Krylov subspaces with 11 tables." Berlin Heidelberg New York Springer, 2006. http://deposit.d-nb.de/cgi-bin/dokserv?id=2877194&prov=M&dok_var=1&dok_ext=htm.

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33

Dietl, Guido K. E. "Linear estimation and detection in Krylov subspaces : with ... 11 tables /." Berlin [u.a.] : Springer, 2007. http://www.gbv.de/dms/ilmenau/toc/522153062.PDF.

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34

Hayakawa, Yoshikazu, and D. ŠILJAK Dragoslav. "On almost invariant subspaces of structural systems and decentralized control." IEEE, 1988. http://hdl.handle.net/2237/6854.

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35

Little, M. "The extension of operators from Hilbertian subspaces of Lsup(1)." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355740.

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36

Byers, R., C. He, and V. Mehrmann. "The Matrix Sign Function Method and the Computation of Invariant Subspaces." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800619.

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A perturbation analysis shows that if a numerically stable procedure is used to compute the matrix sign function, then it is competitive with conventional methods for computing invariant subspaces. Stability analysis of the Newton iteration improves an earlier result of Byers and confirms that ill-conditioned iterates may cause numerical instability. Numerical examples demonstrate the theoretical results.

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37

Yavuz, Onur. "Invariant subspaces for Banach space operators with a multiply connected spectrum." [Bloomington, Ind.] : Indiana University, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3219888.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2006.<br>"Title from dissertation home page (viewed June 27, 2007)." Source: Dissertation Abstracts International, Volume: 67-06, Section: B, page: 3174. Adviser: Hari Bercovici.

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38

Sutton, Daniel Joseph. "Structure of Invariant Subspaces for Left-Invertible Operators on Hilbert Space." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/28807.

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This dissertation is primarily concerned with studying the invariant subspaces of left-invertible, weighted shifts, with generalizations to left-invertible operators where applicable. The two main problems that are researched can be stated together as When does a weighted shift have the one-dimensional wandering subspace property for all of its closed, invariant subspaces? This can fail either by having a subspace that is not generated by its wandering subspace, or by having a subspace with an index greater than one. For the former we show that every left-invertible, weighted shift is similar

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39

Farmer, Matthew Ray. "Strong Choquet Topologies on the Closed Linear Subspaces of Banach Spaces." Thesis, University of North Texas, 2011. https://digital.library.unt.edu/ark:/67531/metadc84202/.

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In the study of Banach spaces, the development of some key properties require studying topologies on the collection of closed convex subsets of the space. The subcollection of closed linear subspaces is studied under the relative slice topology, as well as a class of topologies similar thereto. It is shown that the collection of closed linear subspaces under the slice topology is homeomorphic to the collection of their respective intersections with the closed unit ball, under the natural mapping. It is further shown that this collection under any topology in the aforementioned class of simi

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40

Santin, Gabriele. "Approximation in kernel-based spaces, optimal subspaces and approximation of eigenfunctions." Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3424498.

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Kernel-based approximation methods provide optimal recovery procedures in the native Hilbert spaces in which they are reproducing. Among other, kernels in the notable class of continuous and strictly positive definite kernels on compact sets possess a series decomposition in L2 - orthonormal eigenfunctions of a particular integral operator. The interest for this decomposition is twofold. On one hand, the subspaces generated by eigenfunctions, or eigenbasis elements, are L2 -optimal trial spaces in the sense of widths. On the other hand, such expansion is the fundamental tool of some of the st

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41

Langendörfer, Sebastian [Verfasser], and Jörg [Akademischer Betreuer] Eschmeier. "On unitarily invariant subspaces and Cowen-Douglas theory : characterization of Toeplitz operators, Wold decomposition type theorems and fiber dimension for invariant subspaces / Sebastian Langendörfer ; Betreuer: Jörg Eschmeier." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2019. http://d-nb.info/1196090149/34.

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42

Langendörfer, Sebastian Verfasser], and Jörg [Akademischer Betreuer] [Eschmeier. "On unitarily invariant subspaces and Cowen-Douglas theory : characterization of Toeplitz operators, Wold decomposition type theorems and fiber dimension for invariant subspaces / Sebastian Langendörfer ; Betreuer: Jörg Eschmeier." Saarbrücken : Saarländische Universitäts- und Landesbibliothek, 2019. http://nbn-resolving.de/urn:nbn:de:bsz:291--ds-287558.

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43

Lam, Ching Hung. "On The Structure of Vertex Operator Algebras and Their Weight Two Subspaces /." The Ohio State University, 1996. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487934589974245.

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44

Heck, Larry Paul. "A subspace approach to the auomatic design of pattern recognition systems for mechanical system monitoring." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/15016.

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45

Toolan, Timothy M. "Advances in sliding window subspace tracking /." View online ; access limited to URI, 2005. http://0-wwwlib.umi.com.helin.uri.edu/dissertations/dlnow/3206257.

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46

Caglar, Mert. "Invariant Subspaces Of Positive Operators On Riesz Spaces And Observations On Cd0(k)-spaces." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606391/index.pdf.

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The present work consists of two main parts. In the first part, invariant subspaces of positive operators or operator families on locally convex solid Riesz spaces are examined. The concept of a weakly-quasinilpotent operator on a locally convex solid Riesz space has been introduced and several results that are known for a single operator on Banach lattices have been generalized to families of positive or close-to-them operators on these spaces. In the second part, the so-called generalized Alexandroff duplicates are studied and CDsigma, gamma(K, E)-type spaces are investigated. It has then

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47

Dietl, Guido Karl Erich [Verfasser]. "Linear estimation and detection in Krylov subspaces : with 11 tables / Guido K. E. Dietl." Berlin, 2007. http://d-nb.info/985559144/34.

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48

Mkhaliphi, Mkhuseli Bruce. "Reconstruction of Functions From Non-uniformly Distributed Sampled Data in Shift-Invariant Frame Subspaces." Master's thesis, Faculty of Engineering and the Built Environment, 2018. http://hdl.handle.net/11427/30079.

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The focus of this research is to study and implement efficient iterative reconstruction algorithms. Iterative reconstruction algorithms are used to reconstruct bandlimited signals in shift-invariant L2 subspaces from a set of non-uniformly distributed sampled data. The Shannon-Whittaker reconstruction formula commonly used in uniform sampling problems is insufficient in reconstructing function from non-uniformly distributed sampled data. Therefore new techniques are required. There are many traditional approaches for non-uniform sampling and reconstruction methods where the Adaptive Weights (A

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49

Lennox, James. "Multivariate subspaces for fault detection and isolation : with application to the wastewater treatment process /." [St. Lucia, Qld.], 2001. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe16704.pdf.

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50

Liang, Xiaoming. "A class of weighted Bergman spaces, reducing subspaces for multiple weighted shifts, and dilatable operators." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/39164.

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This thesis consists of four chapters. Chapter 1 contains the preliminaries. We give the background, notation and some results needed for this work, and we describe our main results of this thesis. In Chapter 2 we will introduce a class of weighted Bergman spaces. We then will discuss some properties about the multiplication operator, Mz , on them. We also characterize the dual spaces of these weighted Bergman spaces. In Chapter 3 we will characterize the reducing subspaces of multiple weighted shifts. The reducing subspaces of the Bergman and the Dirichlet shift of multiplicity N are portra

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