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Displaying 1181 – 1200 of 3166

Kadec Norms on Spaces of Continuous Functions

Burke, Maxim R., Wiesaw, Kubis, Stevo, Todorcevic (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35.We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the class of compact...

Kato's equality and spectral decomposititon for positive C0-Groups.

Wolfgang Arendt (1982)

Manuscripta mathematica

Kennzeichnende Eigenschaften bewerteter Vektorräume.

Karl Mathiak (1973)

Journal für die reine und angewandte Mathematik

Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces

F. A. Sukochev, D. Zanin (2009)

Studia Mathematica

We study the class of all rearrangement-invariant ( = r.i.) function spaces E on [0,1] such that there exists 0 < q < 1 for which $∥ \sum_{k = 1}^{n} ξ_{k} ∥_{E} \leq C n^{q}$ , where ${ξ_{k}}_{k \geq 1} \subset E$ is an arbitrary sequence of independent identically distributed symmetric random variables on [0,1] and C > 0 does not depend on n. We completely characterize all Lorentz spaces having this property and complement classical results of Rodin and Semenov for Orlicz spaces $e x p (L_{p})$ , p ≥ 1. We further apply our results to the study of Banach-Saks index sets in...

K-monotone Spaces between Spaces of Absolutely Summable Series.

Mieczyslaw Mastylo (1990)

Forum mathematicum

Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.

A. K. Katsaras, Javier Martínez-Maurica (1990)

Collectanea Mathematica

The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.

Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions

Lajos Molnár (2011)

Open Mathematics

In this paper we describe the structure of surjective isometries of the spaces of all absolutely continuous, singular, or discrete probability distribution functions on R equipped with the Kolmogorov-Smirnov metric. We also study the structure of affine automorphisms of the space of all distribution functions.

König-Witstock quasi-norms on quasi-Banach spaces.

Jesús M. Fernández Castillo, Yolanda Moreno (2002)

Extracta Mathematicae

Korovkin Approximation in C0(X).

Klaus Donner, Heinz Bauer (1978)

Mathematische Annalen

Köthe dual of Banach sequence spaces $ℓ_{p} [X]$ $(1 \leq p < \infty)$ and Grothendieck space

Cong Xin Wu, Qing-Ying Bu (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we show the representation of Köthe dual of Banach sequence spaces $ℓ_{p} [X]$ $(1 \leq p < \infty) ...$

Kuttner's theorem for operators

I. J. Maddox (1974) Compositio Mathematica

$L_{1}$ contains every two-dimensional normed space

David Yost (1988)

Annales Polonici Mathematici

$ℓ_{1}$ -continuous partitions of unity on normed spaces

Miloš Zahradník (1976)

Czechoslovak Mathematical Journal

$ℓ_{1}$ -partitions of unity on normed spaces

Zahradník, Miloš (1975)

Seminar Uniform Spaces

$L_{1}$ spaces fail a certain approximative property.

Kamal, Aref (1998)

International Journal of Mathematics and Mathematical Sciences

$L$ -Correspondences: The inclusion $L^{p} (μ, X) \subset L^{q} (υ, Y)$ .

Dawson, C.Bryan (1996)

International Journal of Mathematics and Mathematical Sciences

$L$ -limited-like properties on Banach spaces

Ioana Ghenciu (2023)

Commentationes Mathematicae Universitatis Carolinae

We study weakly precompact sets and operators. We show that an operator is weakly precompact if and only if its adjoint is pseudo weakly compact. We study Banach spaces with the $p$ - $L$ -limited $^{*}$ and the $p$ -(SR $^{*}$ ) properties and characterize these classes of Banach spaces in terms of $p$ - $L$ -limited $^{*}$ and $p$ -Right $^{*}$ subsets. The $p$ - $L$ -limited $^{*}$ property is studied in some spaces of operators.

$L^{p}$ -Struktur in Banachräumen

Ehrhard Behrends (1976)

Studia Mathematica

$L^{p}$ -Struktur in Banachräumen II

Ehrhard Behrends (1978)

Studia Mathematica

$ℓ_{\infty}$ -sums and the Banach space $ℓ_{\infty} / c ₀$

Christina Brech, Piotr Koszmider (2014)

Fundamenta Mathematicae

This paper is concerned with the isomorphic structure of the Banach space $ℓ_{\infty} / c ₀$ and how it depends on combinatorial tools whose existence is consistent with but not provable from the usual axioms of ZFC. Our main global result is that it is consistent that $ℓ_{\infty} / c ₀$ does not have an orthogonal $ℓ_{\infty}$ -decomposition, that is, it is not of the form $ℓ_{\infty} (X)$ for any Banach space X. The main local result is that it is consistent that $ℓ_{\infty} (c ₀ ())$ does not embed isomorphically into $ℓ_{\infty} / c ₀$ , where is the cardinality of the continuum, while $ℓ_{\infty}$ ...

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