Interpolation of Normed Abelian Groups and Non-Commutative Integration

DOI10.1007/978-3-642-20236-0_13zbMath1420.46045OpenAlexW177778984MaRDI QIDQ5195013

Sergei D. Silvestrov

Publication date: 17 September 2019

Published in: Analysis for Science, Engineering and Beyond (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20236-0_13

Mathematics Subject Classification ID

Noncommutative measure and integration (46L51) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Abstract interpolation of topological vector spaces (46M35)

Cites Work

• Double piling structure of matrix monotone functions and of matrix convex functions
• Applications of the complex interpolation method to a von Neumann algebra: non-commutative \(L^ p\)-spaces
• Real and complex interpolation methods for finite and infinite families of Banach spaces
• Minimal and maximal methods of interpolation
• Interpolation and non-commutative integration
• Interpolation of subcouples and quotient couples
• Embedding of non-commutative \(L^p\)-spaces: \(p<1\)
• Interpolation between non-commutative BMO and non-commutative \(L_{p}\)-spaces.
• The failure of the Hardy inequality and interpolation of intersections
• Positive cones and \(L^p\)-spaces for von Neumann algebras
• Rosenthal's theorem for subspaces of noncommutative \(L_p\)
• Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev-Besov-Räumen
• Interpolation spaces and interpolation methods
• Zur Interpolation von Operatorenräumen. (The interpolation of operator spaces)
• Interpolation of normed Abelian groups
• A non-commutative extension of abstract integration
• L p Fourier Transforms on Locally Compact Unimodular Groups
• Integration Theorems For Gages and Duality for Unimodular Groups
• Notes on Wolff's Note on Interpolation Spaces
• Mixed-norm inequalities and operator space 𝐿_{𝑝} embedding theory
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• Interpolation of weighted $L_{p}$-spaces
• Constructions of Non-Commutative L^p-Spaces with a Complex Parameter Arising from Modular Actions
• GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS
• MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS
• Banach embedding properties of non-commutative 𝐿^{𝑝}-spaces
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Interpolationseigenschaften von Entropie und Durchmesseridealen kompakter Operatoren
• Ideale von $S_{p}$-Operatoren in Banachräumen
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