Compressible operators and the continuity of homomorphisms from algebras of operators

G. Willis

Displaying similar documents to “Compressible operators and the continuity of homomorphisms from algebras of operators”

Factoring Rosenthal operators.

Teresa Alvarez (1988)

Publicacions Matemàtiques

Similarity:

In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.

Spaces of compact operators which are $M$ -ideals in $L (X, Y)$ .

Cho, Chong-Man (1992)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Factorization of operators and duality

Manuel González Ortiz, Víctor M. Onieva Aleixandre (1987)

Extracta Mathematicae

Similarity:

On operators factorizable through $L_{p}$ space

Stanislaw Kwapien (1972)

Mémoires de la Société Mathématique de France

Similarity:

Banach spaces of compact operators

Charles E. Cleaver (1972)

Colloquium Mathematicae

Similarity:

Unconditional ideals of finite rank operators

Trond A. Abrahamsen, Asvald Lima, Vegard Lima (2008)

Czechoslovak Mathematical Journal

Similarity:

Let $X$ be a Banach space. We give characterizations of when $ℱ (Y, X)$ is a $u$ -ideal in $𝒲 (Y, X)$ for every Banach space $Y$ in terms of nets of finite rank operators approximating weakly compact operators. Similar characterizations are given for the cases when $ℱ (X, Y)$ is a $u$ -ideal in $𝒲 (X, Y)$ for every Banach space $Y$ , when $ℱ (Y, X)$ is a $u$ -ideal in $𝒲 (Y, X^{* *})$ for every Banach space $Y$ , and when $ℱ (Y, X)$ is a $u$ -ideal in $𝒦 (Y, X^{* *})$ for every Banach space $Y$ .

The space of compact operators as an M-ideal in its bidual.

T. S. S. R. K. Rao (1992)

Extracta Mathematicae

Similarity:

Polynomially compact elements of Banach algebras

V. Rakočević (1984)

Matematički Vesnik

Similarity:

Banach spaces with small Calkin algebras

Manuel González (2007)

Banach Center Publications

Similarity:

Let X be a Banach space. Let 𝓐(X) be a closed ideal in the algebra ℒ(X) of the operators acting on X. We say that ℒ(X)/𝓐(X) is a Calkin algebra whenever the Fredholm operators on X coincide with the operators whose class in ℒ(X)/𝓐(X) is invertible. Among other examples, we have the cases in which 𝓐(X) is the ideal of compact, strictly singular, strictly cosingular and inessential operators, and some other ideals introduced as perturbation classes in Fredholm theory. Our aim is to...

Commutators in Banach *-algebras

Bertram Yood (2008)

Studia Mathematica

Similarity:

The set of commutators in a Banach *-algebra A, with continuous involution, is examined. Applications are made to the case where A = B(ℓ₂), the algebra of all bounded linear operators on ℓ₂.