Výsledky vyhledávání - "Zemanek, Jaroslav"

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Nice connecting paths in connected components of sets of algebraic elements in a Banach algebra

Autor: Makai, Jr., E., Zemánek, Jaroslav

Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a $C^*$-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebr

Externí odkaz: http://arxiv.org/abs/1601.01505

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Local and global liftings of analytic families of idempotents in Banach algebras

Autor: Aupetit, Bernard, Makai, Jr., Endre, Mbekhta, Mostafa, Zemánek, Jaroslav

Publikováno v: Acta Sci. Math. Szeged 80 (2014), 149-174

Generalizing results of our earlier paper, we investigate the following question. Let $\pi(\lambda) : A \to B$ be an analytic family of surjective homomorphisms between two Banach algebras, and $q(\lambda)$ an analytic family of idempotents in $B$. W

Externí odkaz: http://arxiv.org/abs/1411.4788

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Microspectral analysis of quasinilpotent operators

Autor: Malinen, Jarmo, Nevanlinna, Olavi, Zemánek, Jaroslav

We develop a microspectral theory for quasinilpotent linear operators $Q$ (i.e., those with $\sigma(Q) = \{0}$) in a Banach space. When such $Q$ is not compact, normal, or nilpotent, the classical spectral theory gives little information, and a somew

Externí odkaz: http://arxiv.org/abs/1211.4790

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Power convergence of Abel averages

Autor: Kozitsky, Yuri, Shoikhet, David, Zemanek, Jaroslav

Necessary and sufficient conditions are presented for the Abel averages of discrete and strongly continuous semigroups, $T^k$ and $T_t$, to be power convergent in the operator norm in a complex Banach space. These results cover also the case where $T

Externí odkaz: http://arxiv.org/abs/1208.0936

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