A note on -ideals in certain algebras of operators.
Cho, Chong-Man, Roh, Woo Suk (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Cho, Chong-Man, Roh, Woo Suk (2000)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Lauric, Vasile (2001)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Horacio Porta (1971)
Studia Mathematica
Similarity:
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...
Heinz O. Cordes (1986)
Revista Matemática Iberoamericana
Similarity:
J. Janas (1976)
Studia Mathematica
Similarity:
Weis, L. W.
Similarity:
Kamil John (1999)
Czechoslovak Mathematical Journal
Similarity:
We suggest a method of renorming of spaces of operators which are suitably approximable by sequences of operators from a given class. Further we generalize J. Johnsons’s construction of ideals of compact operators in the space of bounded operators and observe e.g. that under our renormings compact operators are -ideals in the: space of 2-absolutely summing operators or in the space of operators factorable through a Hilbert space.