Compressible operators and the continuity of homomorphisms from algebras of operators
Studia Mathematica, Tome 115 (1995) no. 3, p. 251.

Voir la notice de l'article dans European Digital Mathematics Library

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.
Classification : 46B03, 46H40, 47L10
Mots-clés : compressible operator on a Banach space, automatic continuity, James' space 
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G. Willis. Compressible operators and the continuity of homomorphisms from algebras of operators. Studia Mathematica, Tome 115 (1995) no. 3, p. 251. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_3_216211/