Relevant bibliographies by topics / Isometrics (Mathematics) Banach spaces

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
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Academic literature on the topic 'Isometrics (Mathematics) Banach spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Isometrics (Mathematics) Banach spaces"

1

Brech, C., V. Ferenczi, and A. Tcaciuc. "Isometries of combinatorial Banach spaces." Proceedings of the American Mathematical Society 148, no. 11 (2020): 4845–54. http://dx.doi.org/10.1090/proc/15122.

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Bellenot, Steven F. "Banach spaces with trivial isometries." Israel Journal of Mathematics 56, no. 1 (1986): 89–96. http://dx.doi.org/10.1007/bf02776242.

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Taoudi, Mohamed Aziz. "On a Generalization of Partial Isometries in Banach Spaces." gmj 15, no. 1 (2008): 177–88. http://dx.doi.org/10.1515/gmj.2008.177.

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Abstract This paper is concerned with the definition and study of semipartial isometries on Banach spaces. This class of operators, which is a natural generalization of partial isometries from Hilbert to general Banach spaces, contains in particular the class of partial isometries recently introduced by M. Mbekhta [Acta Sci. Math. (Szeged) 70: 767–781, 2004]. First of all, we establish some basic properties of semi-partial isometries. Next, we introduce the notion of pseudo Moore–Penrose inverse as a natural generalization of the Moore–Penrose inverse from Hilbert spaces to arbitrary Banach sp
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Sid Ahmed, Ould Ahmed Mahmoud. "m-ISOMETRIC OPERATORS ON BANACH SPACES." Asian-European Journal of Mathematics 03, no. 01 (2010): 1–19. http://dx.doi.org/10.1142/s1793557110000027.

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We introduce the class of m-isometric operators on Banach spaces. This generalizes to Banach space the m-isometric operators on Hilbert space introduced by Agler and Stankus. We establish some basic properties and we introduce the notion of m-invertibility as a natural generalization of the invertibility on Banach spaces.
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Koszmider, Piotr, Miguel Martín, and Javier Merí. "Isometries on extremely non-complex Banach spaces." Journal of the Institute of Mathematics of Jussieu 10, no. 2 (2010): 325–48. http://dx.doi.org/10.1017/s1474748010000204.

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AbstractGiven a separable Banach space E, we construct an extremely non-complex Banach space (i.e. a space satisfying that ‖ Id + T2 ‖ = 1 + ‖ T2 ‖ for every bounded linear operator T on it) whose dual contains E* as an L-summand. We also study surjective isometries on extremely non-complex Banach spaces and construct an example of a real Banach space whose group of surjective isometries reduces to ±Id, but the group of surjective isometries of its dual contains the group of isometries of a separable infinite-dimensional Hilbert space as a subgroup.
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ABRAHAMSEN, TROND A., VEGARD LIMA, and OLAV NYGAARD. "ALMOST ISOMETRIC IDEALS IN BANACH SPACES." Glasgow Mathematical Journal 56, no. 2 (2013): 395–407. http://dx.doi.org/10.1017/s0017089513000335.

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AbstractA natural class of ideals, almost isometric ideals, of Banach spaces is defined and studied. The motivation for working with this class of subspaces is our observation that they inherit diameter 2 properties and the Daugavet property. Lindenstrauss spaces are known to be the class of Banach spaces that are ideals in every superspace; we show that being an almost isometric ideal in every superspace characterizes the class of Gurariy spaces.
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Tan, Dongni, and Xujian Huang. "The wigner property for CL-spaces and finite-dimensional polyhedral Banach spaces." Proceedings of the Edinburgh Mathematical Society 64, no. 2 (2021): 183–99. http://dx.doi.org/10.1017/s0013091521000079.

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AbstractWe say that a map $f$ from a Banach space $X$ to another Banach space $Y$ is a phase-isometry if the equality \[ \{\|f(x)+f(y)\|, \|f(x)-f(y)\|\}=\{\|x+y\|, \|x-y\|\} \]holds for all $x,\,y\in X$. A Banach space $X$ is said to have the Wigner property if for any Banach space $Y$ and every surjective phase-isometry $f : X\rightarrow Y$, there exists a phase function $\varepsilon : X \rightarrow \{-1,\,1\}$ such that $\varepsilon \cdot f$ is a linear isometry. We present some basic properties of phase-isometries between two real Banach spaces. These enable us to show that all finite-dime
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Araujo, Jesús, and Krzysztof Jarosz. "Isometries of spaces of unbounded continuous functions." Bulletin of the Australian Mathematical Society 63, no. 3 (2001): 475–84. http://dx.doi.org/10.1017/s0004972700019559.

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By the classical Banach-Stone Theorem any surjective isometry between Banach spaces of bounded continuous functions defined on compact sets is given by a homeomorphism of the domains. We prove that the same description applies to isometries of metric spaces of unbounded continuous functions defined on non compact topological spaces.
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Fleming, R. J., and J. E. Jamison. "Hermitian operators and isometries on sums of Banach spaces." Proceedings of the Edinburgh Mathematical Society 32, no. 2 (1989): 169–91. http://dx.doi.org/10.1017/s0013091500028583.

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Let E be a Banach sequence space with the property that if (αi) ∈ E and |βi|≦|αi| for all i then (βi) ∈ E and ‖(βi)‖E≦‖(αi)‖E. For example E could be co, lp or some Orlicz sequence space. If (Xn) is a sequence of real or complex Banach spaces, then E can be used to construct a vector sequence space which we will call the E sum of the Xn's and symbolize by ⊕EXn. Specifically, ⊕EXn = {(xn)|(xn)∈Xn and (‖xn‖)∈E}. The E sum is a Banach space with norm defined by: ‖(xn)‖ = ‖(‖xn‖)‖E. This type of space has long been the source of examples and counter-examples in the geometric theory of Banach space
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Dowling, P. N., C. J. Lennard, and B. Turett. "Asymptotically Isometric Copies ofc0in Banach Spaces." Journal of Mathematical Analysis and Applications 219, no. 2 (1998): 377–91. http://dx.doi.org/10.1006/jmaa.1997.5820.

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Dissertations / Theses on the topic "Isometrics (Mathematics) Banach spaces"

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Cowell, Simon Kalton Nigel J. "Asymptotic unconditionality in Banach spaces." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/6149.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb. 20, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Nigel J. Kalton. Vita. Includes bibliographical references.
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Shao, Chuang Gao Su. "Urysohn ultrametric spaces and isometry groups." [Denton, Tex.] : University of North Texas, 2009. http://digital.library.unt.edu/permalink/meta-dc-9918.

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West, Graeme Philip. "Non-commutative Banach function spaces." Master's thesis, University of Cape Town, 1990. http://hdl.handle.net/11427/17117.

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Gowers, William T. "Symmetric structures in Banach spaces." Thesis, University of Cambridge, 1990. https://www.repository.cam.ac.uk/handle/1810/252814.

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Kalaichelvan, Rajendra. "Function spaces and a problem of banach." Doctoral thesis, University of Cape Town, 2000. http://hdl.handle.net/11427/4895.

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Bibliography: leaves 87-90.<br>Function spaces have been a useful tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the reals R, which we denote C(X).
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Doré, Michael J. "Universal Fréchet sets in Banach spaces." Thesis, University of Warwick, 2010. http://wrap.warwick.ac.uk/3688/.

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We define a universal Fréchet set S of a Banach space Y as a subset containing a point of Fréchet differentiability of every Lipschitz function g : Y -> R. We prove a sufficient condition for S to be a universal Fréchet set and use this to construct new examples of such sets. The strongest such result says that in a non-zero Banach space Y with separable dual one can find a universal Fréchet set S ⊆ Y that is closed, bounded and has Hausdorff dimension one.
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Zheng, Bentuo. "Embeddings and factorizations of Banach spaces." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1551.

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Blagojevic, Danilo. "Spectral families and geometry of Banach spaces." Thesis, University of Edinburgh, 2007. http://hdl.handle.net/1842/2389.

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The principal objects of study in this thesis are arbitrary spectral families, E, on a complex Banach space X. The central theme is the relationship between the geometry of X and the p-variation of E. We show that provided X is super- reflexive, then given any E, there exists a value 1 · p < 1, depending only on E and X, such that var p(E) < 1. If X is uniformly smooth we provide an explicit range of such values p, which depends only on E and the modulus of convexity of X*, delta X*(.).
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Ochoa, James Philip. "Tensor Products of Banach Spaces." Thesis, University of North Texas, 1996. https://digital.library.unt.edu/ark:/67531/metadc278580/.

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Tensor products of Banach Spaces are studied. An introduction to tensor products is given. Some results concerning the reciprocal Dunford-Pettis Property due to Emmanuele are presented. Pelczyriski's property (V) and (V)-sets are studied. It will be shown that if X and Y are Banach spaces with property (V) and every integral operator from X into Y* is compact, then the (V)-subsets of (X⊗F)* are weak* sequentially compact. This in turn will be used to prove some stronger convergence results for (V)-subsets of C(Ω,X)*.
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Sarantopoulos, I. C. "Polynomials and multilinear mappings in Banach spaces." Thesis, Brunel University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376057.

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Books on the topic "Isometrics (Mathematics) Banach spaces"

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E, Jamison James, ed. Isometries on Banach spaces: Function spaces. Chapman & Hall/CRC, 2003.

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E, Jamison James, ed. Isometries on Banach spaces: Vector-valued function spaces : volume 2. CRC Press, 2008.

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3

Vakhanii͡a, N. N. Probability distributions on Banach spaces. D. Reidel Pub. Co., 1987.

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Caps, Oliver. Evolution Equations in Scales of Banach Spaces. Vieweg+Teubner Verlag, 2002.

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Favini, A. Degenerate differential equations in Banach spaces. Marcel Dekker, 1999.

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Linear connections on hypersurfaces of Banach spaces. Suomalainen Tiedeakatemia, 1987.

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Ha, Ki Sik. Nonlinear Functional Evolutions in Banach Spaces. Springer Netherlands, 2003.

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1942-, Hong Jia-Xing, ed. Isometric embedding of Riemannian manifolds in Euclidean spaces. American Mathematical Society, 2006.

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9

Michel, Ledoux. Probability in Banach spaces: Isoperimetry and processes. Springer-Verlag, 1991.

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Ciorănescu, Ioana. Geometry of banach spaces, duality mappings, and nonlinear problems. Kluwer Academic Publishers, 1990.

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Book chapters on the topic "Isometrics (Mathematics) Banach spaces"

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Brokate, Martin, and Götz Kersting. "Banach Spaces." In Compact Textbooks in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-15365-0_13.

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Kisliakov, S. V. "Banach spaces." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0100202.

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Axler, Sheldon. "Banach Spaces." In Graduate Texts in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33143-6_6.

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Clarke, Francis. "Banach spaces." In Graduate Texts in Mathematics. Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4820-3_5.

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Kelley, John L., and T. P. Srinivasan. "Banach Spaces." In Graduate Texts in Mathematics. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-4570-4_11.

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Douglas, Ronald G. "Banach Spaces." In Graduate Texts in Mathematics. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-1656-8_1.

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Protasov, Vladimir Yu. "On Stability of Isometries in Banach Spaces." In Functional Equations in Mathematical Analysis. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0055-4_22.

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Bhatia, Rajendra. "Banach Spaces." In Texts and Readings in Mathematics. Hindustan Book Agency, 2009. http://dx.doi.org/10.1007/978-93-86279-45-3_1.

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Dales, H. G., F. K. Dashiell, A. T. M. Lau, and D. Strauss. "Banach Spaces and Banach Lattices." In CMS Books in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32349-7_2.

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Schechter, Martin. "Reflexive Banach spaces." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/036/08.

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Conference papers on the topic "Isometrics (Mathematics) Banach spaces"

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Todorov, Vladimir T., and Michail A. Hamamjiev. "Transitive functions in Banach spaces." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’16): Proceedings of the 42nd International Conference on Applications of Mathematics in Engineering and Economics. Author(s), 2016. http://dx.doi.org/10.1063/1.4968490.

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Barbagallo, Annamaria, Stéphane Pia, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Projected Dynamical Inclusions in Reflexive Banach Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636888.

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Castella, F., Ph Chartier, F. Méhats, and A. Murua. "Stroboscopic averaging in Banach spaces: Application to NLS." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756052.

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Sahiner, Ahmet, and Tuba Yigit. "2–Cone Banach spaces and fixed point theorem." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756305.

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Massopust, Peter. "On local fractal functions in banach spaces." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912866.

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Kato, Mikio, Yasuji Takahashi, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Some Recent Results on Geometric Constants of Banach Spaces." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498518.

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Amalia Minda, Andrea, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "On (h, k)-Instabilities of Evolution Operators in Banach Spaces." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498503.

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Auwalu, Abba, and Ali Denker. "Chatterjea-type fixed point theorem on cone rectangular metric spaces with banach algebras." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040595.

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Aimene, Djihad, Djamila Seba, and Karima Laoubi. "Controllability for Semilinear Fractional Integro-differential Systems with Deviated Argument in Banach Spaces." In 2020 2nd International Conference on Mathematics and Information Technology (ICMIT). IEEE, 2020. http://dx.doi.org/10.1109/icmit47780.2020.9046982.

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Fedorov, Vladimir E., Roman R. Nazhimov, and Dmitriy M. Gordievskikh. "Initial value problem for a class of fractional order inhomogeneous equations in Banach spaces." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959622.

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