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Formulae for joint spectral radii of sets of operators

100%

Shulman V., Turovskii Y.

Studia Mathematica

2002

tom 149

nr 1

23-37

The formula $ϱ(M) = max{ϱ_{χ}(M),r(M)}$ is proved for precompact sets M of weakly compact operators on a Banach space. Here ϱ(M) is the joint spectral radius (the Rota-Strang radius), $ϱ_{χ}(M)$ is the Hausdorff spectral radius (connected with the Hausdorff measure of noncompactness) and r(M) is the Berger-Wang radius.

On the Kleinecke-Shirokov Theorem for families of derivations

100%

Shulman V., Turovskii Y.

Studia Mathematica

2002

tom 149

nr 2

185-190

It is proved that Riesz elements in the intersection of the kernel and the closure of the image of a family of derivations on a Banach algebra are quasinilpotent. Some related results are obtained.

Topological radicals, I. Basic properties, tensor products and joint quasinilpotence

100%

Shulman V., Turovskii Y.

Banach Center Publications

2005

tom 67

nr 1

293-333

Ograniczanie wyników

2 Studia Mathematica

1 Banach Center Publications

3 Shulman V.

3 Turovskii Y.

1 2005

2 2002

Wyniki wyszukiwania

Formulae for joint spectral radii of sets of operators

On the Kleinecke-Shirokov Theorem for families of derivations

Topological radicals, I. Basic properties, tensor products and joint quasinilpotence