Results 21 to 30 of about 374 (55)
Weakly Compact Generating and Shrinking Markusevic Bases [PDF]
, 2006 2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient ...
Fabian, M. +3 more
core
Purely non-atomic weak L^p spaces
, 1996 Let $\msp$ be a purely non-atomic measure space, and let $1 < p < \infty$. If $\weakLp\msp$ is isomorphic, as a Banach space, to $\weakLp\mspp$ for some purely atomic measure space $\mspp$, then there is a measurable partition $\Omega = \Omega_1\cup ...
Leung, Denny H.
core +2 more sources
A new isomorphic (\ell_1) predual not isomorphic to a complemented subspace of a (C(K)) space
, 2012 An isomorphic (\ell_1)-predual space (X) is constructed such that neither (X) is isomorphic to a subspace of (c_0), nor (C(\omega^\omega)) is isomorphic to a subspace of (X).
Gasparis, Ioannis
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Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces [PDF]
, 2013 Let $V$ and $V'$ be vector spaces over division rings (possible infinite-dimensional) and let ${\mathcal P}(V)$ and ${\mathcal P}(V')$ be the associated projective spaces.
Pankov, Mark
core
A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2 [PDF]
, 2001 We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2. Introduction Weak type 2 and weak cotype 2 spaces were originally introduced and investigated by V.D. Milman and G. Pisier in [10] and weak Hilbert spaces by
P. Casazza, N. J. Nielsen
semanticscholar +1 more source
Some geometric properties of Read's space
, 2017 We study geometric properties of the Banach space $\mathcal{R}$ constructed recently by C.~Read (arXiv 1307.7958) which does not contain proximinal subspaces of finite codimension greater than or equal to two.
Kadets, Vladimir +2 more
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Approximation of Lipschitz Mappings [PDF]
, 2003 2000 Mathematics Subject Classification: 46B03We prove that any Lipschitz mapping from a separable Banach space into any Banach space can be approximated by uniformly Gâteaux differentiable Lipschitz mapping.Supported by grants GAUK 277/2001, GA CR 201 ...
Johanis, Michal
core
, 1998 We investigate the best order of smoothness of $L^p(L^q)$. We prove in particular that there exists a $C^\infty$-smooth bump function on $L^p(L^q)$ if and only if $p$ and $q$ are both even integers and $p$ is a multiple of $q$.Comment: 18 pages; AMS ...
Deville, R. +2 more
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A Characterization of Subspaces and Quotients of Reflexive Banach Spaces with Unconditional Bases
, 2007 We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property has the unconditional tree property. Then we prove that a separable reflexive Banach space with the unconditional tree property embeds into ...
Johnson, W. B., Zheng, Bentuo
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Examples of k-iterated spreading models
, 2011 It is shown that for every $k\in\mathbb{N}$ and every spreading sequence $\{e_n\}_{n\in\mathbb{N}}$ that generates a uniformly convex Banach space $E$, there exists a uniformly convex Banach space $X_{k+1}$ admitting $\{e_n\}_{n\in\mathbb{N}}$ as a $k+1$-
Argyros, Spiros A., Motakis, Pavlos
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