Results 31 to 40 of about 374 (55)
Quasilinear mappings, M-ideals and polyhedra
, 2012 We survey the connection between two results from rather different areas: failure of the 3-space property for local convexity (and other properties) within the category of quasiBanach spaces, and the irreducibility (in the sense of Minkowski difference ...
D. Yost
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An extension of James's compactness theorem [PDF]
, 2014 Let X and Y be Banach spaces and F a subset of B_{Y^*}. Endow Y with the topology \tau_F of pointwise convergence on F. Let T: X^* \to Y be a bounded linear operator which is (w^*, \tau_F) continuous.
Gasparis, Ioannis
core
Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete
, 2017 Let $M$ be a compact subset of a superreflexive Banach space. We prove that the Lipschitz-free space $\mathcal{F}(M)$, the predual of the Banach space of Lipschitz functions on $M$, has the Pe{\l}czy\'nski's property ($V^\ast$).
Aharoni +42 more
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Generalized ulam-hyers stability of C*-Ternary algebra n-Homomorphisms for a functional equation
, 2011 In this article, we investigate the Ulam-Hyers stability of C*-ternary algebra n-homomorphisms for the functional equation: in C*-ternary algebras.2000 Mathematics Subject Classification: Primary 39B82; 46B03; 47Jxx.
W. Park, J. Bae
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A discretized approach to W.T. Gowers' game
, 2009 We give an alternative proof of W. T. Gowers' theorem on block bases by reducing it to a discrete analogue on specific countable nets. We also give a Ramsey type result on k-tuples of block sequences in a normed linear space with a Schauder basis.Comment:
Kanellopoulos, V., Tyros, K.
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On the structure of separable $\mathcal{L}_\infty$-spaces
, 2015 Based on a construction method introduced by J. Bourgain and F. Delbaen, we give a general definition of a Bourgain-Delbaen space and prove that every infinite dimensional separable $\mathcal{L}_\infty$-space is isomorphic to such a space.
Argyros, Spiros A. +2 more
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Another low-technology estimate in convex geometry
, 1998 We give a short argument that for some C > 0, every n-dimensional Banach ball K admits a 256-round subquotient of dimension at least C n/(log n). This is a weak version of Milman's quotient of subspace theorem, which lacks the logarithmic factor.Comment:
Kuperberg, Greg
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Sums of SCD sets and their applications to SCD operators and narrow operators
Open Mathematics, 2010 Kadets Vladimir, Shepelska Varvara
doaj +1 more source
On asphericity of convex bodies in linear normed spaces. [PDF]
J Inequal Appl, 2018 Faried N, Morsy A, Hussein AM.
europepmc +1 more source