Results 51 to 60 of about 4,708,050 (255)
Non-universal families of separable Banach spaces
, 2015 We prove that if $ C $ is a family of separable Banach spaces which is analytic with respect to the Effros-Borel structure and none member of $ C $ is isometrically universal for all separable Banach spaces, then there exists a separable Banach space ...
Kurka, Ondřej
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Intersection Properties of Balls in Banach Spaces
Journal of Function Spaces and Applications, 2013 We introduce a weaker notion of central subspace called almost central subspace, and we study Banach spaces that belong to the class (GC), introduced by Veselý (1997). In particular, we prove that if is an almost central subspace of a Banach space such
C. R. Jayanarayanan
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The concept of cone b-Banach space and fixed point theorems
Open Mathematics, 2021 In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces.
Yang Chen, Zhu Xiaolin
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Observations on the Separable Quotient Problem for Banach Spaces
Axioms, 2020 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.
Sidney A. Morris, David T. Yost
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Journal of Mathematical Analysis and Applications, 1988 (i) Z” is non-void and does not contain origin (ii) Z#Y, Z’On(--f”)=@ and Zn(-Z’)=(O), where rodenotes the interior of Z’. For y, y’ in Y we define y 3 y’[ y > y’] if y y’ E Z [ y y’ E Z”]. It is easy to verify that 2 is a partial ordering in Y. For any positive integer k ( > 1) we denote by Y“ the Cartesian product Yx Yx ... x Y (k-times). For y= (yi,
P.C. Bhakta, Sumitra Roychaudhuri
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Moreau’s decomposition in Banach spaces [PDF]
Mathematical Programming, 2013 Moreau's decomposition is a powerful nonlinear hilbertian analysis tool that has been used in various areas of optimization and applied mathematics. In this paper, it is extended to reflexive Banach spaces and in the context of generalized proximity measures. This extension unifies and significantly improves upon existing results.
Combettes, Patrick Louis, Reyes, Noli
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Geometric median and robust estimation in Banach spaces [PDF]
, 2013 In many real-world applications, collected data are contaminated by noise with heavy-tailed distribution and might contain outliers of large magnitude. In this situation, it is necessary to apply methods which produce reliable outcomes even if the input ...
Stanislav Minsker
semanticscholar +1 more source
Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2013 We have proven an existence theorem concerning the existence of solutions for a functional evolution inclusion governed by sweeping process with closed convex sets depending on time and state and with a noncompact nonconvex perturbation in Banach spaces.
F. Aladsani, A. G. Ibrahim
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Banach Lattice Structures and Concavifications in Banach Spaces
Mathematics, 2020 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 ...
Agud Albesa, Lucia +3 more
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On quasihyperbolic geodesics in Banach spaces [PDF]
Annales Academiae Scientiarum Fennicae Mathematica, 2014 14 pages, 4 ...
Talponen, Jarno, Rasila, Antti
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