Displaying similar documents to “Range tripotents and order in JBW*-triples”

Wheeling around von Neumann-Jordan constant in Banach spaces

J. Alonso, P. Martín, P. L. Papini (2008)

Studia Mathematica

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In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated. But not much effort has been devoted to organize all connections, also because the literature on the subject is growing at an always bigger rate. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann-Jordan and James constants. ...

A note on states of von Neumann algebras

Allah-Bakhsh Thaheem (1979)

Aplikace matematiky

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The author proves that on a von Neumann albebra (possibly of uncountable cardinality) there exists a family of states having mutually orthogonal supports (projections) converging to the identity operator.

Canonical functional extensions on von Neumann algebras

Carlo Cecchini (1999)

Studia Mathematica

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The topology and the structure of the set of the canonical extensions of positive, weakly continuous functionals from a von Neumann subalgebra M 0 to a von Neumann algebra M are described.

Triple derivations on von Neumann algebras

Robert Pluta, Bernard Russo (2015)

Studia Mathematica

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It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple)...