Results 21 to 30 of about 329 (32)
New examples of $c_0$-saturated Banach spaces II [PDF]
arXiv, 2008 For every Banach space $Z$ with a shrinking unconditional basis satisfying upper $p$-estimates for some $p > 1$, an isomorphically polyhedral Banach space is constructed having an unconditional basis and admitting a quotient isomorphic to $Z$.
arxiv
New examples of $c_0$-saturated Banach spaces [PDF]
arXiv, 2008 For every $ 1 < p < \infty $ an isomorphically polyhedral Banach space $E_p$ is constructed having an unconditional basis and admitting a quotient isomorphic to $\ell_p$. It is also shown that $E_p$ is not isomorphic to a subspace of a $C(K)$ space for every countable and compact metric space $K$.
arxiv
Characterising subspaces of Banach spaces with a Schauder basis having the shift property [PDF]
arXiv, 2011 We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.
arxiv
Note on Kadets Klee property and Asplund spaces [PDF]
arXiv, 2012 A typical result in this note is that if $X$ is a Banach space which is a weak Asplund space and has the $\omega^*$-$\omega$-Kadets Klee property, then $X$ is already an Asplund space.
arxiv
A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions [PDF]
arXiv, 2015 We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.
arxiv
On subprojectivity of $C(K,X)$ [PDF]
arXiv, 2019 We show that the Banach space $C(K,X)$ is subprojective if $K$ is scattered and $X$ is subprojective.
arxiv
Nigel Kalton's work in isometrical Banach space theory [PDF]
arXiv, 2011 This paper surveys some of the late Nigel Kalton's contributions to Banach space theory. The paper is written for the Nigel Kalton Memorial Website http://mathematics.missouri.edu/kalton/, which is scheduled to go online in summer 2011.
arxiv
Approximation of the multiplicatives on random multi-normed space. [PDF]
J Inequal Appl, 2017 Agarwal RP, Saadati R, Salamati A.
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On asphericity of convex bodies in linear normed spaces. [PDF]
J Inequal Appl, 2018 Faried N, Morsy A, Hussein AM.
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