منابع مشابه
Zel’manov’s Theorem for Primitive Jordan–banach Algebras
In fact, if X is any vector space on which the primitive Banach algebra A acts faithfully and irreducibly, then X can be converted in a Banach space in such a way that the requirements in Theorem 0 are satisfied and even the inclusion A9BL(X ) is contractive. Roughly speaking, the aim of this paper is to prove the appropriate Jordan variant of Theorem 0. The notion of primitiveness for Jordan a...
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This paper continues the study of spectral synthesis and the topologies τ ∞ and τ r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C *-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of τ ∞. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffne...
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This paper continues the study of spectral synthesis and the topologies τ ∞ and τ r on the ideal space of a Banach algebra, concentrating particularly on the class of Haagerup tensor products of C *-algebras. For this class, it is shown that spectral synthesis is equivalent to the Hausdorffness of τ ∞. Under a weak extra condition, spectral synthesis is shown to be equivalent to the Hausdorffne...
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chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولSpectral Lifting in Banach Algebras and Interpolation in Several Variables
Let A be a unital Banach algebra and let J be a closed two-sided ideal of A. We prove that if any invertible element of A/J has an invertible lifting in A, then the quotient homomorphism Φ : A → A/J is a spectral interpolant. This result is used to obtain a noncommutative multivariable analogue of the spectral commutant lifting theorem of Bercovici, Foiaş, and Tannenbaum. This yields spectral v...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1972
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500035758