Results 31 to 40 of about 445 (75)
The Szlenk index of $L_p(X)$ and $A_p$
, 2017 Given a Banach space $X$, a $w^*$-compact subset of $X^*$, and ...
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Complexity of weakly null sequences
, 1992 We introduce an ordinal index which measures the complexity of a weakly null sequence, and show that a construction due to J. Schreier can be iterated to produce for each alpha < omega_1, a weakly null sequence (x^{alpha}_n)_n in C(omega^{omega^{alpha}}))
Alspach, Dale E., Argyros, Spiros
core
Operator ideals associated with the Szlenk index
, 2010 For $ $ an ordinal, we investigate the class $\mathscr{SZ}_ $ consisting of all operators whose Szlenk index is an ordinal not exceeding $ ^ $. Our main result is that $\mathscr{SZ}_ $ is a closed, injective, surjective operator ideal for each $ $.
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Asymptotic geometry of Banach spaces and uniform quotient maps
, 2012 Recently, Lima and Randrianarivony pointed out the role of the property $(\beta)$ of Rolewicz in nonlinear quotient problems, and answered a ten-year-old question of Bates, Johnson, Lindenstrauss, Preiss and Schechtman.
Dilworth, S. J. +3 more
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Absolutely convex sets of large Szlenk index
, 2016 Accepted for publication in the North-Western European Journal of Mathematics. Page numbering in this version shall differ from the published version. The results of this version are the same as in the original upload to the arXiv, however there has been some reorganisation of the content to bring the statement of the main results of the paper forward ...
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The Szlenk index of injective tensor products and convex hulls
Journal of Functional Analysis, 2017 Given any Banach space $X$ and any weak*-compact subset $K$ of $X^*$, we compute the Szlenk index of the weak*-closed, convex hull of $K$ as a function of the Szlenk index of $K$. Also as an application, we compute the Szlenk index of any injective tensor product of two operators.
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Variables Determining Higher Home Care Effectiveness in Patients with Chronic Cardiovascular Disease. [PDF]
Int J Environ Res Public Health, 2022 Szlenk-Czyczerska E +5 more
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Factors Differentiating Rural and Urban Population in Determining Anxiety and Depression in Patients with Chronic Cardiovascular Disease: A Pilot Study. [PDF]
Int J Environ Res Public Health, 2021 Szlenk-Czyczerska E +5 more
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Strategies for Improving Text Reading Ability Based on Human-Computer Interaction in Artificial Intelligence. [PDF]
Front Psychol, 2022 Shen G.
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Embedding into Banach spaces with finite dimensional decompositions
, 2006 This paper deals with the following types of problems: Assume a Banach space $X$ has some property (P). Can it be embedded into some Banach space $Z$ with a finite dimensional decomposition having property (P), or more generally, having a property ...
Odell, E., Schlumprecht, Th.
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