Note on operational quantities and Mil'man isometry spectrum.

Manuel González; Antonio Martinón

Displaying similar documents to “Note on operational quantities and Mil'man isometry spectrum.”

On certain quantities in Fredholm operator theory and Mil'man's isometry spectrum

Beucher, O. J.

Similarity:

The Słodkowski spectra and higher Shilov boundaries

Vladimír Müller (1993)

Studia Mathematica

Similarity:

We investigate relations between the spectra defined by Słodkowski [14] and higher Shilov boundaries of the Taylor spectrum. The results generalize the well-known relation between the approximate point spectrum and the usual Shilov boundary.

The splitting spectrum differs from the Taylor spectrum

V. Müller (1997)

Studia Mathematica

Similarity:

We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.

On joint spectra of operators on a Banach space isomorphic to its square

Andrzej Sołtysiak (1989)

Colloquium Mathematicae

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...