Spectral Algebras
نویسندگان
چکیده
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...
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We refer to the real Jordan Banach algebra of bounded Hermitian operators on a Hilbert space as a Hermitian algebra. We define an abstract Hermitian algebra (AH-algebra) to be the directed group of an e-ring that contains a semitransparent element, has the quadratic annihilation property, and satisfies a Vigier condition on pairwise commuting ascending sequences. All of this terminology is expl...
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A class of algebras is introduced that includes the unital Banach algebras over the complex numbers. Commutator results are proved for such algebras and used to establish spectral properties of certain elements of Banach algebras. 1. Introduction. In this note, we introduce a condition on an algebra motivated by the situation in which Schur's lemma [S1] is applicable. We say that algebras satis...
متن کاملSpectral algebras for strong equational classes of partial algebras
As it is well known, the generalization of universal-algebraic notions to partial algebras yields different kinds of homomorphisms, subalgebras, validity of equations etc. Three types of equations: existential, weak and strong, have been investigated by many algebraists with interesting results on algebraic characterization of equationally definable classes of partial algebras. One of the most ...
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.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1992
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072812