Relevant bibliographies by topics / Banach space

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Banach space'

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

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Journal articles on the topic "Banach space"

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Jordá, Enrique. "Weighted Vector-Valued Holomorphic Functions on Banach Spaces." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/501592.

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We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a functionfdefined in a subsetAof an open and connected subsetUof a Banach spaceX, with values in another Banach spaceE, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions.
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Alvarez, Teresa, Manuel Gonzalez, and Victor M. Onieva. "Totally Incomparable Banach Spaces and Three-Space Banach Space Ideals." Mathematische Nachrichten 131, no. 1 (1987): 83–88. http://dx.doi.org/10.1002/mana.19871310108.

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Robbins, D. A. "Some extremal properties of section spaces of Banach bundles and their duals." International Journal of Mathematics and Mathematical Sciences 29, no. 10 (2002): 563–72. http://dx.doi.org/10.1155/s0161171202008086.

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WhenXis a compact Hausdorff space andEis a real Banach space there is a considerable literature on extremal properties of the spaceC(X,E)of continuousE-valued functions onX. What happens if the Banach spaces in which the functions onXtake their values vary overX? In this paper, we obtain some extremal results on the section spaceΓ(π)and its dualΓ(π)*of a real Banach bundleπ:ℰ→X(with possibly varying fibers), and point out the difficulties in arriving at totally satisfactory results.
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Agud, Lucia, Jose Manuel Calabuig, Maria Aranzazu Juan, and Enrique A. Sánchez Pérez. "Banach Lattice Structures and Concavifications in Banach Spaces." Mathematics 8, no. 1 (2020): 127. http://dx.doi.org/10.3390/math8010127.

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Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ) → E . In this case, it is possible to define an order and, consequently, a lattice structure for E in such a way that we can identify it as a Banach function space, at least regarding some local properties. General and concrete applications are shown, including the study of the notion of the pth power of a Banach space, the characterization of spaces of operators that are isomorphic to Banach lattices
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Mohi, Hala Majed, Enas Ajil Jasim, and Aya Adnan Mousa Abd. "Analysis of applications of Banach fixed point theorem." Experimental and Theoretical NANOTECHNOLOGY 9, S (2025): 115–22. https://doi.org/10.56053/9.s.115.

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In the context of normed space, Banach's fixed point theorem for mapping is studied in this paper. This idea is generalized in Banach's classical fixed-point theory. Fixed point theory explains many situations where maps provide great answers through an amazing combination of mathematical analysis. Picard- Lendell's theorem, Picard's theorem, implicit function theorem, and other results are created by other mathematicians later using this fixed-point theorem. We have come up with ideas that Banach's theorem can be used to easily deduce many well-known fixed-point theorems. Extending the Banach
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Ghosh, P., та T. K. Samanta. "Об устойчивости ретро банахова фрейма относительно b-линейного функционала в n-банаховом пространстве". Владикавказский математический журнал, № 1 (23 березня 2023): 48–63. http://dx.doi.org/10.46698/o3961-3328-9819-i.

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We introduce the notion of a retro Banach frame relative to a bounded $b$-linear functional in $n$-Banach space and see that the sum of two retro Banach frames in $n$-Banach space with different reconstructions operators is also a retro Banach frame in $n$-Banach space. Also, we define retro Banach Bessel sequence with respect to a bounded $b$-linear functional in $n$-Banach space. A necessary and sufficient condition for the stability of retro Banach frame with respect to bounded $b$-linear functional in $n$-Banach space is being obtained. Further, we prove that retro Banach frame with respec
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Morris, Sidney A., and David T. Yost. "Observations on the Separable Quotient Problem for Banach Spaces." Axioms 9, no. 1 (2020): 7. http://dx.doi.org/10.3390/axioms9010007.

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The longstanding Banach–Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable. Although it remains open in general, an affirmative answer is known in many special cases, including (1) reflexive Banach spaces, (2) weakly compactly generated (WCG) spaces, and (3) Banach spaces which are dual spaces. Obviously (1) is a special case of both (2) and (3), but neither (2) nor (3) is a special case of the other. A more general result proved here includes all three of these cases. More precisel
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Kusraev, Anatoly, and Semën Kutateladze. "Geometric Characterization of Injective Banach Lattices." Mathematics 9, no. 3 (2021): 250. http://dx.doi.org/10.3390/math9030250.

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This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective Banach lattice. The study bases on the Boolean valued transfer principle for injective Banach lattices. The latter states that each such lattice serves as an interpretation of an AL-space in an appropriate Boolean valued model of set theory. External identification of the internal Boolean valued properties of the corresponding AL-spaces yields
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Folch-Gabayet, Magali, Martha Guzmán-Partida, and Salvador Pérez-Esteva. "Lipschitz measures and vector-valued Hardy spaces." International Journal of Mathematics and Mathematical Sciences 25, no. 5 (2001): 345–56. http://dx.doi.org/10.1155/s0161171201004549.

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We define certain spaces of Banach-valued measures called Lipschitz measures. When the Banach space is a dual spaceX*, these spaces can be identified with the duals of the atomic vector-valued Hardy spacesHXp(ℝn),0<p<1. We also prove that all these measures have Lipschitz densities. This implies that for every real Banach spaceXand0<p<1, the dualHXp(ℝn)∗can be identified with a space of Lipschitz functions with values inX*.
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Ajay Kumar Chaudhary. "Extension and Generalization of Banach Contraction in Metric and in Menger Space." Communications on Applied Nonlinear Analysis 32, no. 2 (2024): 53–63. http://dx.doi.org/10.52783/cana.v32.1707.

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The root of metric fixed point theory is Stefen Banach's contraction mapping, a research source for shrinking the distance between two points in space. As a source, many authors have introduced many contraction mappings as extensions and generalizations of Banach contraction and established fixed point theorems under the property that each such mapping in complete metric and Menger space has a unique fixed point. This article presents updated results of Banach contraction generalization and extension forms in metric and Menger space which helps the comparative and interrelationship study in th
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Dissertations / Theses on the topic "Banach space"

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Albasrawi, Fatimah Hassan. "Floquet Theory on Banach Space." TopSCHOLAR®, 2013. http://digitalcommons.wku.edu/theses/1234.

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In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: y'(t) = A(t)y(t), where t ∈ R, y(t) is a function with values in a Banach space X, and A(t) are linear, bounded operators on X. If the system is periodic, meaning A(t+ω) = A(t) for some period ω, then it is called a Floquet system. We will investigate the existence and uniqueness of the periodic solution, as well as the stability of a Floquet system. This thesis will be presented in five main chapters. In the first chapter, we review the system of linear differential e
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Jiang, Zhu. "Topics in Banach space theory." Thesis, Lancaster University, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316579.

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Boedihardjo, March Tian. "Topics in Banach space theory." HKBU Institutional Repository, 2011. http://repository.hkbu.edu.hk/etd_ra/1286.

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Das, Bata Krishna. "Quantum stochastic analysis in Banach space and operator space." Thesis, Lancaster University, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.660115.

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Derrick, John. "Some problems in Banach space theory." Thesis, University of Oxford, 1988. http://ora.ox.ac.uk/objects/uuid:36289504-6d9f-42e4-af95-ef3abb8a8fa2.

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Types were introduced by Krivine and Maurey, in a refinement of a result by Aldous showing that infinite dimensional subspaces of L<sub>r</sub> contain Ωp for some 1≤pꝏ) . A synthesis of these ideas was provided by Garling whose representation of types as random measures was the motivation for much of this work. This thesis aims to investigate the structure of the representation, and to provide concrete representations for differing Banach spaces. Chapter one contains the necessary preliminaries for the later chapters, and finishes by introducing the representation due to Garling of types on L
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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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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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Kiteu, Marco M. "Orbits of operators on Hilbert space and some classes of Banach spaces." Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1341850621.

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Koller, Michael Dominik Fabian. "Topologies on the set of Banach space representations /." [S.l.] : [s.n.], 1993. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=10075.

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Terauds, Venta School of Mathematics UNSW. "Extentions of functional calculus for Banach space operators." Awarded by:University of New South Wales. School of Mathematics, 2006. http://handle.unsw.edu.au/1959.4/25726.

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We consider conditions under which a continuous functional calculus for a Banach space operator T ?? L(X) may be extended to a bounded Borel functional calculus, and under which a functional calculus for absolutely continuous (AC) functions may be extended to one of for functions of bounded variation (BV). The natural setting for investigating the former case is finitely spectral operators, and for the latter, well-bounded operators. Some such conditions are well-established. If X is a reflexive space, both type of Extensions are assured; in fact if X contains an isomorphic copy of co, then e
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Books on the topic "Banach space"

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Lin, Bor-Luh, ed. Banach Space Theory. American Mathematical Society, 1989. http://dx.doi.org/10.1090/conm/085.

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Fabian, Marián, Petr Habala, Petr Hájek, Vicente Montesinos, and Václav Zizler. Banach Space Theory. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-7515-7.

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Ambrozie, Cǎlin-Grigore, and Florian-Horia Vasilescu, eds. Banach Space Complexes. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0375-6.

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1941-, Vasilescu Florian-Horia, ed. Banach space complexes. Kluwer Academic Publishers, 1995.

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Castillo, Jesús M. F., and Manuel González. Three-space Problems in Banach Space Theory. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0112511.

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Castillo, Jesús M. F. Three-space problems in Banach space theory. Springer, 1997.

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Anastassiou, George A. Banach Space Valued Neural Network. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-16400-2.

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Castillo, Jesus M. F., and William B. Johnson, eds. Methods in Banach Space Theory. Cambridge University Press, 2006. http://dx.doi.org/10.1017/cbo9780511721366.

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Albiac, Fernando, and Nigel J. Kalton. Topics in Banach Space Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31557-7.

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Ban, Dubravka. p-adic Banach Space Representations. Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-22684-7.

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Book chapters on the topic "Banach space"

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Hu, Shouchuan, and Nikolaos Papageorgiou. "Banach Space Theory." In Research Topics in Analysis, Volume I. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-17837-5_3.

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Ban, Dubravka. "Banach Space Representations." In Lecture Notes in Mathematics. Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-22684-7_4.

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Farenick, Douglas. "Banach Space Operators." In Fundamentals of Functional Analysis. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45633-1_8.

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Böttcher, Albrecht, and Bernd Silbermann. "Banach Space Phenomena." In Introduction to Large Truncated Toeplitz Matrices. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1426-7_7.

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Alabiso, Carlo, and Ittay Weiss. "Banach Spaces." In A Primer on Hilbert Space Theory. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-67417-5_6.

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Rosenthal, Haskell. "The lie algebra of a Banach space." In Banach Spaces. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074702.

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Ambrozie, Cǎlin-Grigore, and Florian-Horia Vasilescu. "Introduction." In Banach Space Complexes. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0375-6_1.

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Ambrozie, Cǎlin-Grigore, and Florian-Horia Vasilescu. "Preliminaries." In Banach Space Complexes. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0375-6_2.

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Ambrozie, Cǎlin-Grigore, and Florian-Horia Vasilescu. "Semi-Fredholm complexes." In Banach Space Complexes. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0375-6_3.

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Ambrozie, Cǎlin-Grigore, and Florian-Horia Vasilescu. "Related topics." In Banach Space Complexes. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0375-6_4.

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Conference papers on the topic "Banach space"

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Nagarajan, Durga, and Nageshwari S. "Controllability of Fractional Delay Partial Random Differential Equations in Banach space." In 2024 Tenth Indian Control Conference (ICC). IEEE, 2024. https://doi.org/10.1109/icc64753.2024.10883679.

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ODELL, EDWARD. "THE BANACH SPACE Lp." In Proceedings of the Third International School. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812818454_0008.

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Laustsen, Niels Jakob, and Richard J. Loy. "Closed ideals in the Banach algebra of operators on a Banach space." In Topological Algebras, their Applications, and Related Topics. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc67-0-20.

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Estatico, C., M. Pastorino, and A. Randazzo. "A Banach-space regularization approach for microwave imaging." In 2012 6th European Conference on Antennas and Propagation (EuCAP). IEEE, 2012. http://dx.doi.org/10.1109/eucap.2012.6206201.

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Polyakov, A., D. Efimov, E. Fridman, and W. Perruquetti. "On homogeneous evolution equation in a Banach space." In 2015 European Control Conference (ECC). IEEE, 2015. http://dx.doi.org/10.1109/ecc.2015.7330908.

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König, Hermann. "Applications of spherical designs to Banach space theory." In Orlicz Centenary Volume. Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc64-0-10.

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BLASCO, O., and PABLO GREGORI. "VECTOR MEASURES WITH VARIATION IN A BANACH FUNCTION SPACE." In Proceedings of the Sixth Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704450_0006.

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Basra, Khushboo, and Surjeet Singh Chauhan (Gonder). "Convergence of CUIA iteration in complex valued Banach space." In ADVANCES IN INTELLIGENT APPLICATIONS AND INNOVATIVE APPROACH. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0139766.

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Feng, Yan, and Liu Xiaoling. "Completeness of Random Exponential Systems in the Weighted Banach Space." In Its Applications and Embedded Sys (CDEE). IEEE, 2010. http://dx.doi.org/10.1109/cdee.2010.15.

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Estatico, Claudio, Alessandro Fedeli, Matteo Pastorino, Andrea Randazzo, and Emanuele Tavanti. "A Banach-space multifrequency imaging approach for electromagnetic subsurface sensing." In 2015 IEEE 15th Mediterranean Microwave Symposium (MMS). IEEE, 2015. http://dx.doi.org/10.1109/mms.2015.7375371.

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Reports on the topic "Banach space"

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Banks, H. T., and Hoan K. Nguyen. Sensitivity of Dynamical Systems to Banach Space Parameters. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada440031.

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Temlyakov, V. N. Greedy Algorithms in Banach Spaces. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada637095.

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Yamamoto, Tetsuro. A Convergence Theorem for Newton's Method in Banach Spaces. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada163625.

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Rosinski, J. On Stochastic Integral Representation of Stable Processes with Sample Paths in Banach Spaces. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada152927.

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Chang, C. S. Equilibrium toroidal current in a tokamak driven by phase-space inhomogeneity in the banana regime. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6488804.

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Economic Research Report Banrep 2024. Banco de la República, 2025. https://doi.org/10.32468/reporteinvestigacioneseng24.

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Banco de la República’s 2024 Economic Publications Report offers a compilation of the academic production and dissemination activities carried out by the Institution. The publications detailed here are in different formats, including: •Revista ESPE (Essays on Economic Policy): An issue was published in 2024 on subnational tax rules in Colombia. •Working Papers (43): Research in key areas such as macro- and micro-economics, economic history, and regional and urban economics is presented. •Articles in indexed journals (39): Publications in international scientific journals covering monetary poli
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Monetary Policy Report - April 2022. Banco de la República, 2022. http://dx.doi.org/10.32468/inf-pol-mont-eng.tr2-2022.

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Macroeconomic summary Annual inflation continued to rise in the first quarter (8.5%) and again outpaced both market expectations and the technical staff’s projections. Inflation in major consumer price index (CPI) baskets has accelerated year-to-date, rising in March at an annual rate above 3%. Food prices (25.4%) continued to contribute most to rising inflation, mainly affected by a deterioration in external supply and rising costs of agricultural inputs. Increases in transportation prices and in some utility rates (energy and gas) can explain the acceleration in regulated items prices (8.3%)
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Monetary Policy Report - January 2022. Banco de la República, 2022. http://dx.doi.org/10.32468/inf-pol-mont-eng.tr1-2022.

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Macroeconomic summary Several factors contributed to an increase in projected inflation on the forecast horizon, keeping it above the target rate. These included inflation in December that surpassed expectations (5.62%), indexation to higher inflation rates for various baskets in the consumer price index (CPI), a significant real increase in the legal minimum wage, persistent external and domestic inflationary supply shocks, and heightened exchange rate pressures. The CPI for foods was affected by the persistence of external and domestic supply shocks and was the most significant contributor t
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