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Compressible operators and the continuity of homomorphisms from algebras of operators

100%

Willis G. A.

Studia Mathematica

1995

tom 115

nr 3

251-259

The notion of a compressible operator on a Banach space, E, derives from automatic continuity arguments. It is related to the notion of a cartesian Banach space. The compressible operators on E form an ideal in ℬ(E) and the automatic continuity proofs depend on showing that this ideal is large. In particular, it is shown that each weakly compact operator on the James' space, J, is compressible, whence it follows that all homomorphisms from ℬ(J) are continuous.

Amenability of Banach and C*-algebras on locally compact groups

51%

Lau A. T. M., Loy R. J., Willis G. A.

Studia Mathematica

1996

tom 119

nr 2

161-178

Several results are given about the amenability of certain algebras defined by locally compact groups. The algebras include the C*-algebras and von Neumann algebras determined by the representation theory of the group, the Fourier algebra A(G), and various subalgebras of these.

Ograniczanie wyników

2 Studia Mathematica

2 Willis G. A.

1 Lau A. T. M.

1 Loy R. J.

1 1996

1 1995

Wyniki wyszukiwania

Compressible operators and the continuity of homomorphisms from algebras of operators

Amenability of Banach and C*-algebras on locally compact groups