Classical summation in commutative and noncommutative \(L_p\)-spaces

DOI10.1007/978-3-642-20438-8zbMath1267.46002OpenAlexW597227174MaRDI QIDQ537675

Andreas Defant

Publication date: 20 May 2011

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20438-8

zbMATH Keywords

von Neumann algebrasymmetric spaceorthonormal seriesSchur multiplierslaws of large numberssummation methodsalmost uniform convergencecoefficient testHaagerup spacemaximizing matricesunconditionally convergent sequence

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and divergence of series and sequences of functions (40A30) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Noncommutative function spaces (46L52)

Related Items (7)

Non-symmetric polarization ⋮ Dominated convergence theorems in Haagerup noncommutative \(L_p\)-spaces ⋮ Noncommutative vector-valued symmetric Hardy spaces ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ Noncommutative strong maximals and almost uniform convergence in several directions ⋮ Extreme points of the set of elements majorised by an integrable function: resolution of a problem by Luxemburg and of its noncommutative counterpart ⋮ Non-commutative HE(A;l∞) and HE(A;l1) spaces

This page was built for publication: Classical summation in commutative and noncommutative \(L_p\)-spaces