Spectral radius characterization of commutativity in Banach algebras

Jaroslav Zemánek

Displaying similar documents to “Spectral radius characterization of commutativity in Banach algebras”

On discontinuity of the spectral radius in Banach algebras

Vladimír Müller (1977)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Properties of the spectral radius in Banach algebras

Jaroslav Zemánek (1982)

Banach Center Publications

Similarity:

Counterexample on semiradial Banach algebras

M. M. Talabani (1982)

Colloquium Mathematicae

Similarity:

Spectral radius and seminorms in finite-dimensional algebras. II

Robert Grone, Peter D. Johnson, Jr. (1982)

Colloquium Mathematicae

Similarity:

Spectral radius and seminorms in finite-dimensional algebras

Peter D. Johnson, Jr. (1978)

Colloquium Mathematicae

Similarity:

On Banach algebras satisfying a spectral maximum principle

E. Vesentini (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

On Uniform Continuity of the Spectral Radius in Banach Algebras.

V. Pták, J. Zemánek (1977)

Manuscripta mathematica

Similarity:

Perturbation and spectral discontinuity in Banach algebras

Rudi Brits (2011)

Studia Mathematica

Similarity:

We extend an example of B. Aupetit, which illustrates spectral discontinuity for operators on an infinite-dimensional separable Hilbert space, to a general spectral discontinuity result in abstract Banach algebras. This can then be used to show that given any Banach algebra, Y, one may adjoin to Y a non-commutative inessential ideal, I, so that in the resulting algebra, A, the following holds: To each x ∈ Y whose spectrum separates the plane there corresponds a perturbation of x, of...

Eventually positive elements in ordered Banach algebras

Gerd Herzog, Peer C. Kunstmann (2023)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In ordered Banach algebras, we introduce eventually and asymptotically positive elements. We give conditions for the following spectral properties: the spectral radius belongs to the spectrum (Perron--Frobenius property); the spectral radius is the only element in the peripheral spectrum; there are positive (approximate) eigenvectors for the spectral radius. Recently such types of results have been shown for operators on Banach lattices. Our results can be viewed as a complement, since...