Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces

DOI10.1016/j.na.2011.01.022zbMath1230.46010OpenAlexW2045950015MaRDI QIDQ534451

Carlos Alberto Hernández-Linares, Japón Pineda, Maria A.

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.022

zbMATH Keywords

von Neumann algebrafixed point propertynonexpansive mappingsrenormingmeasure topologynon-commutative \(L_1\)-space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03) Noncommutative measure and integration (46L51)

Related Items (2)

Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Renormings and fixed point property in non-commutative \(L_1\)-spaces. II: Affine mappings

Cites Work

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• Strong limit theorems in non-commutative probability
• A renorming in some Banach spaces with applications to fixed point theory
• Notes on non-commutative integration
• Some fixed point results on \(L\)-embedded Banach spaces
• Reflexivity and the fixed-point property for nonexpansive maps
• Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• A renorming of some nonseparable Banach spaces with the fixed point property
• On rings of operators
• A non-commutative extension of abstract integration
• A note on asymptotically isometric copies of $l^1$ and $c_0$
• Fixed point property and the Fourier algebra of a locally compact group
• A Fixed Point Free Nonexpansive Map
• Points fixes dans les espaces des operateurs nucleaires
• Non-commutative L^P-spaces
• Non-isomorphism of 𝐿_{𝑝}-spaces associated with finite and infinite von Neumann algebras
• Theory of operator algebras I.

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