Relevant bibliographies by topics / Hilbert spaces

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Hilbert spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Hilbert spaces"

1

Bellomonte, Giorgia, and Camillo Trapani. "Rigged Hilbert spaces and contractive families of Hilbert spaces." Monatshefte für Mathematik 164, no. 3 (2010): 271–85. http://dx.doi.org/10.1007/s00605-010-0249-1.

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CHITESCU, ION, RAZVAN-CORNEL SFETCU, and OANA COJOCARU. "Kothe-Bochner spaces that are Hilbert spaces." Carpathian Journal of Mathematics 33, no. 2 (2017): 161–68. http://dx.doi.org/10.37193/cjm.2017.02.03.

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We are concerned with Kothe-Bochner spaces that are Hilbert spaces (resp. hilbertable spaces). It is shown that ¨ this is equivalent to the fact that, separately, Lρ and X are Hilbert spaces (resp. hilbertable spaces). The complete characterization of the Lρ spaces that are Hilbert spaces, given by the first-author, is used.
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Sharma, Sumit Kumar, and Shashank Goel. "Frames in Quaternionic Hilbert Spaces." Zurnal matematiceskoj fiziki, analiza, geometrii 15, no. 3 (2019): 395–411. http://dx.doi.org/10.15407/mag15.03.395.

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Sánchez, Félix Cabello. "Twisted Hilbert spaces." Bulletin of the Australian Mathematical Society 59, no. 2 (1999): 177–80. http://dx.doi.org/10.1017/s0004972700032792.

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A Banach space X is called a twisted sum of the Banach spaces Y and Z if it has a subspace isomorphic to Y such that the corresponding quotient is isomorphic to Z. A twisted Hilbert space is a twisted sum of Hilbert spaces. We prove the following tongue-twister: there exists a twisted sum of two subspaces of a twisted Hilbert space that is not isomorphic to a subspace of a twisted Hilbert space. In other words, being a subspace of a twisted Hilbert space is not a three-space property.
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Pisier, Gilles. "Weak Hilbert Spaces." Proceedings of the London Mathematical Society s3-56, no. 3 (1988): 547–79. http://dx.doi.org/10.1112/plms/s3-56.3.547.

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Fabian, M., G. Godefroy, P. Hájek, and V. Zizler. "Hilbert-generated spaces." Journal of Functional Analysis 200, no. 2 (2003): 301–23. http://dx.doi.org/10.1016/s0022-1236(03)00044-2.

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Rudolph, Oliver. "Super Hilbert Spaces." Communications in Mathematical Physics 214, no. 2 (2000): 449–67. http://dx.doi.org/10.1007/s002200000281.

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Ng, Chi-Keung. "Topologized Hilbert spaces." Journal of Mathematical Analysis and Applications 418, no. 1 (2014): 108–20. http://dx.doi.org/10.1016/j.jmaa.2014.03.073.

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van den Boogaart, Karl Gerald, Juan José Egozcue, and Vera Pawlowsky-Glahn. "Bayes Hilbert Spaces." Australian & New Zealand Journal of Statistics 56, no. 2 (2014): 171–94. http://dx.doi.org/10.1111/anzs.12074.

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Schmitt, L. M. "Semidiscrete Hilbert spaces." Acta Mathematica Hungarica 53, no. 1-2 (1989): 103–7. http://dx.doi.org/10.1007/bf02170059.

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Dissertations / Theses on the topic "Hilbert spaces"

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Wigestrand, Jan. "Inequalities in Hilbert Spaces." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2008. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9673.

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<p>The main result in this thesis is a new generalization of Selberg's inequality in Hilbert spaces with a proof. In Chapter 1 we define Hilbert spaces and give a proof of the Cauchy-Schwarz inequality and the Bessel inequality. As an example of application of the Cauchy-Schwarz inequality and the Bessel inequality, we give an estimate for the dimension of an eigenspace of an integral operator. Next we give a proof of Selberg's inequality including the equality conditions following [Furuta]. In Chapter 2 we give selected facts on positive semidefinite matrices with proofs or references. Then
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Ameur, Yacin. "Interpolation of Hilbert spaces." Doctoral thesis, Uppsala universitet, Matematiska institutionen, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-1753.

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(i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t&gt;0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). It is well-known that this property is implied by the following: for each ρ&gt;1 there exists an operator T : H→K such that Tf0=g0, and K(t,Tf;K)≤ρK(t,f;H), f∊H0+H1, t&gt;0.Verifying the latter property, it suffices to consider the "diagonal" case where H=K is finite-dimensional. In this case, we construct the rel
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Ameur, Yacin. "Interpolation of Hilbert spaces /." Uppsala : Matematiska institutionen, Univ. [distributör], 2001. http://publications.uu.se/theses/91-506-1531-9/.

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Panayotov, Ivo. "Conjugate gradient in Hilbert spaces." Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=82402.

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In this thesis, we examine the Conjugate Gradient algorithm for solving self-adjoint positive definite linear systems in Cn . We generalize the algorithm by proving a convergence result of Conjugate Gradient for self-adjoint positive definite operators in an arbitrary Hilbert space H. Then, we use the Maple software for symbolic manipulation to implement a general version of Conjugate Gradient and to demonstrate, by examples, that the algorithm can be used directly to solve problems in Hilbert spaces other than Cn .
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Bahmani, Fatemeh. "Ternary structures in Hilbert spaces." Thesis, Queen Mary, University of London, 2011. http://qmro.qmul.ac.uk/xmlui/handle/123456789/697.

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Ternary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped with a ternary product. We obtain several new results on the classi - cation of these structures. Some results have been published in [2]. A Hilbert ternary algebra is a real Hilbert space (V; h ; i) equipped with a ternary product [ ; ; ] satisfying h[a; b; x]; yi = hx; [b; a; y]i for a; b; x and y in V . A Jordan Hilbert triple is a real Hilbert s
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Das, Tushar. "Kleinian Groups in Hilbert Spaces." Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc149579/.

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The theory of discrete groups acting on finite dimensional Euclidean open balls by hyperbolic isometries was borne around the end of 19th century within the works of Fuchs, Klein and Poincaré. We develop the theory of discrete groups acting by hyperbolic isometries on the open unit ball of an infinite dimensional separable Hilbert space. We present our investigations on the geometry of limit sets at the sphere at infinity with an attempt to highlight the differences between the finite and infinite dimensional theories. We discuss the existence of fixed points of isometries and the classificati
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Harris, Terri Joan Mrs. "HILBERT SPACES AND FOURIER SERIES." CSUSB ScholarWorks, 2015. https://scholarworks.lib.csusb.edu/etd/244.

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I give an overview of the basic theory of Hilbert spaces necessary to understand the convergence of the Fourier series for square integrable functions. I state the necessary theorems and definitions to understand the formulations of the problem in a Hilbert space framework, and then I give some applications of the theory along the way.
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Dieuleveut, Aymeric. "Stochastic approximation in Hilbert spaces." Thesis, Paris Sciences et Lettres (ComUE), 2017. http://www.theses.fr/2017PSLEE059/document.

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Le but de l’apprentissage supervisé est d’inférer des relations entre un phénomène que l’on souhaite prédire et des variables « explicatives ». À cette fin, on dispose d’observations de multiples réalisations du phénomène, à partir desquelles on propose une règle de prédiction. L’émergence récente de sources de données à très grande échelle, tant par le nombre d’observations effectuées (en analyse d’image, par exemple) que par le grand nombre de variables explicatives (en génétique), a fait émerger deux difficultés : d’une part, il devient difficile d’éviter l’écueil du sur-apprentissage lorsq
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Boralugoda, Sanath Kumara. "Prox-regular functions in Hilbert spaces." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0006/NQ34740.pdf.

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Lapinski, Felicia. "Hilbert spaces and the Spectral theorem." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-454412.

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Books on the topic "Hilbert spaces"

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Debnath, Lokenath. Hilbert spaces with applications. 3rd ed. Academic, 2005.

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Mlak, W. Hilbert spaces and operator theory. Boston, 1991.

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Javad, Mashreghi, Ransford Thomas, and Seip Kristian 1962-, eds. Hilbert spaces of analytic functions. American Mathematical Society, 2010.

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Mashreghi, Javad. Hilbert spaces of analytic functions. American Mathematical Society, 2010.

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Mashreghi, Javad. Hilbert spaces of analytic functions. American Mathematical Society, 2010.

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Sarason, Donald. Sub-Hardy Hilbert spaces in the unit disk. Wiley, 1994.

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Simon, Jacques. Banach, Fréchet, Hilbert and Neumann Spaces. John Wiley & Sons, Inc., 2017. http://dx.doi.org/10.1002/9781119426516.

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Debnath, Lokenath. Introduction to Hilbert spaces with applications. Academic Press, 1990.

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Debnath, Lokenath. Introduction to Hilbert spaces with applications. 2nd ed. Academic Press, 1999.

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1964-, McCarthy John E., ed. Pick interpolation and Hilbert function spaces. American Mathematical Society, 2002.

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Book chapters on the topic "Hilbert spaces"

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D’Angelo, John P. "Hilbert Spaces." In Hermitian Analysis. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8526-1_2.

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Roman, Steven. "Hilbert Spaces." In Advanced Linear Algebra. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2178-2_14.

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Ovchinnikov, Sergei. "Hilbert Spaces." In Universitext. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91512-8_7.

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Cicogna, Giampaolo. "Hilbert Spaces." In Undergraduate Lecture Notes in Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76165-7_1.

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Gasquet, Claude, and Patrick Witomski. "Hilbert Spaces." In Texts in Applied Mathematics. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1598-1_16.

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Komornik, Vilmos. "Hilbert Spaces." In Lectures on Functional Analysis and the Lebesgue Integral. Springer London, 2016. http://dx.doi.org/10.1007/978-1-4471-6811-9_1.

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Shima, Hiroyuki, and Tsuneyoshi Nakayama. "Hilbert Spaces." In Higher Mathematics for Physics and Engineering. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/b138494_4.

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van der Vaart, Aad W., and Jon A. Wellner. "Hilbert Spaces." In Weak Convergence and Empirical Processes. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2545-2_8.

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Brokate, Martin, and Götz Kersting. "Hilbert Spaces." In Compact Textbooks in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15365-0_12.

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Kubrusly, Carlos S. "Hilbert Spaces." In Elements of Operator Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4757-3328-0_5.

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Conference papers on the topic "Hilbert spaces"

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Wang, Haoran, Brian Scurlock, Andrew Kurdila, and Andrea L’Afflitto. "Robust, Nonparametric Backstepping Control over Reproducing Kernel Hilbert Spaces." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886058.

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Gu, Boyan, Sheng Zheng, Xiaojun Mao, and Zhonglei Wang. "Transfer Learning via Functional Balancing in Reproducing Kernel Hilbert Spaces." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10889529.

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RANDRIANANTOANINA, BEATA. "A CHARACTERIZATION OF HILBERT SPACES." In Proceedings of the Sixth Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704450_0021.

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Taddei, Valentina, Luisa Malaguti, and Irene Benedetti. "Nonlocal problems in Hilbert spaces." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0103.

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"Exploring Non-Newtonian Hilbert Spaces." In 2nd International Conference on Frontiers in Academic Research ICFAR 2023. All Sciences Academy, 2023. http://dx.doi.org/10.59287/as-proceedings.464.

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Tang, Wai-Shing. "Biorthogonality and multiwavelets in Hilbert spaces." In International Symposium on Optical Science and Technology, edited by Akram Aldroubi, Andrew F. Laine, and Michael A. Unser. SPIE, 2000. http://dx.doi.org/10.1117/12.408620.

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Pope, Graeme, and Helmut Bolcskei. "Sparse signal recovery in Hilbert spaces." In 2012 IEEE International Symposium on Information Theory - ISIT. IEEE, 2012. http://dx.doi.org/10.1109/isit.2012.6283506.

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Małkiewicz, Przemysław. "Physical Hilbert spaces in quantum gravity." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0514.

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Khimshiashvili, G. "Loop spaces and Riemann-Hilbert problems." In Geometry and Topology of Manifolds. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-19.

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Deepshikha, Saakshi Garg, Lalit K. Vashisht, and Geetika Verma. "On weaving fusion frames for Hilbert spaces." In 2017 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2017. http://dx.doi.org/10.1109/sampta.2017.8024363.

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Reports on the topic "Hilbert spaces"

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Kearsley, Anthony J. Similarity Measures of Mass Spectra in Hilbert Spaces. National Institute of Standards and Technology, 2024. http://dx.doi.org/10.6028/nist.tn.2297.

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Saraivanov, Michael. Quantum Circuit Synthesis using Group Decomposition and Hilbert Spaces. Portland State University Library, 2000. http://dx.doi.org/10.15760/etd.1108.

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Korezlioglu, H., and C. Martias. Stochastic Integration for Operator Valued Processes on Hilbert Spaces and on Nuclear Spaces. Revision. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada168501.

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Fukumizu, Kenji, Francis R. Bach, and Michael I. Jordan. Dimensionality Reduction for Supervised Learning With Reproducing Kernel Hilbert Spaces. Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada446572.

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Teolis, Anthony. Discrete Representation of Signals from Infinite Dimensional Hilbert Spaces with Application to Noise Suppression and Compression. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada453215.

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Salamon, Dietmar. Realization Theory in Hilbert Space. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158172.

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Yao, Jen-Chih. A monotone complementarity problem in Hilbert space. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/7043013.

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Yao, Jen-Chih. A generalized complementarity problem in Hilbert space. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6930669.

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Cottle, Richard W., and Jen-Chih Yao. Pseudo-Monotone Complementarity Problems in Hilbert Space. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada226477.

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Brown, Benjamin. Special Gravity #3 - The Cosmic Hilbert Space. ResearchHub Technologies, Inc., 2023. http://dx.doi.org/10.55277/researchhub.7hpy1d9t.

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