منابع مشابه
Spectral Radius Algebras and Shift
We consider spectral radius algebras associated to operators of the form h(S), where h ∈ H∞ and S is the unilateral shift. We show that, for a large class of H∞ functions, Bh(S) is weakly dense in LH. In this paper we continue the study of the spectral radius algebras (SRA) initiated in [2]. These algebras represent a very interesting class of non-selfadjoint, non-closed operator algebras. Furt...
متن کاملThe spectral radius in partially ordered algebras
We prove theorems of Perron–Frobenius type for positive elements in partially ordered topological algebras satisfying certain hypotheses. We show how some of our results relate to known results on Banach algebras. We give examples and state some open questions. © 2005 Elsevier Inc. All rights reserved. AMS classification: 47A10; 46H35; 47B65; 15A48
متن کاملSpectral Radius Algebras and C0 Contractions
We consider spectral radius algebras associated to C0 contractions. When the operator A is algebraic, we describe all invariant subspaces that are common for operators in its spectral radius algebra BA. In all other situations BA is weakly dense and we characterize a set of rank one operators in BA that is weakly dense in L(H).
متن کاملSpectral radius algebras, Deddens algebras, and weighted shifts
We determine the extended eigenvalues and extended eigenvectors of weighted shifts. We also describe the structure of Deddens algebras and spectral radius algebras associated to weighted shifts. In particular, we show that these algebras are weakly dense in the algebra of all bounded linear operators or in the algebra of lower triangular operators.
متن کاملOn spectral radius of strongly connected digraphs
It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral radius among all strongly connected digraphs of order $nge 3$. In this paper, among others, we determine the digraphs which achieve the second, the third and the fourth minimum spectral radii respectively among strongly connected digraphs of order $nge 4$.
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2017
ISSN: 1846-3886
DOI: 10.7153/oam-11-21