Renormings and fixed point property in non-commutative \(L_1\)-spaces. II: Affine mappings
DOI10.1016/j.na.2012.04.050zbMath1260.46004OpenAlexW1985508622MaRDI QIDQ435120
Japón Pineda, Maria A., Carlos Alberto Hernández-Linares
Publication date: 16 July 2012
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.2012.04.050
fixed point propertyvon Neumann algebrasrenormingaffine mappings, nonexpansive mappingsnoncommutative \(L_1\)-spaces
Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Isomorphic theory (including renorming) of Banach spaces (46B03) Noncommutative measure and integration (46L51)
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Cites Work
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- Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces
- The closed, convex hull of every ai \(c_{0}\)-summing basic sequence fails the FPP for affine nonexpansive mappings
- Strong limit theorems in non-commutative probability
- A renorming in some Banach spaces with applications to fixed point theory
- Notes on non-commutative integration
- Fixed point theorems for affine operators on vector spaces
- The fixed point property for subsets of some classical Banach spaces
- Weak compactness and fixed point property for affine mappings.
- Non-commutative subsequence principles
- Reflexivity and the fixed-point property for nonexpansive maps
- There is an equivalent norm on \(\ell_1\) that has the fixed point property
- A non-commutative extension of abstract integration
- A note on asymptotically isometric copies of $l^1$ and $c_0$
- A Fixed Point Free Nonexpansive Map
- Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property]
- A generalization of a problem of Steinhaus
- Theory of operator algebras I.
