Results 41 to 50 of about 375 (53)
How many operators do there exist on a Banach space? [PDF]
arXiv, 2002 We present partial results to the following question: Does every infinite dimensional Banach space have an infinite dimensional subspace on which one can define an operator which is not a compact perturbation of a scalar multiplication?
arxiv
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
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
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
Combinatorial Inequalities and Subspaces of L1 [PDF]
arXiv, 2012 Let M and N be Orlicz functions. We establish some combinatorial inequalities and show that the product spaces l^n_M(l^n_N) are uniformly isomorphic to subspaces of L_1 if M and N are "separated" by a function t^r, 1
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
On isomorphically polyhedral $\mathcal L_\infty$-spaces [PDF]
arXiv, 2016 We show that there exist $\mathcal L_\infty$-subspaces of separable isomorphically polyhedral Lindenstrauss spaces that cannot be renormed to be a Lindenstrauss space.
arxiv
Totally smooth renormings [PDF]
arXiv, 2018 We study the problem of totally smooth renormings of Banach spaces and provide such renormings for spaces which are weakly compactly generated. We also consider renormings for $(a,B,c)$-ideals.
arxiv
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Lifting on G.T. Banach spaces with unconditional basis
, 2016In this article, we show that every operator defined on the G.T. Banach space with an unconditional basis is liftable. So a G.T. Banach space with an unconditional basis is isomorphic to `1(Γ) for some index set Γ which was characterized by Lindenstrauss
Jeongheung Kang
semanticscholar +1 more source