On the topological stable rank of non-selfadjoint operator algebras
β Scribed by K. R. Davidson; R. H. Levene; L. W. Marcoux; H. Radjavi
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 233 KB
- Volume
- 341
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Various notions of stable ranks are studied for topological algebras. Some partial answers to R. G. Swan's problem (Have two Banach or good Fre chet algebras as in the density theorem in K-theory the same stable rank?) are obtained. For example, a Fre chet dense V -subalgebra A of a C\*-algebra B, c
## Abstract Let __A__~β~(π») denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~β~(π») has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient conditi
Let L denote the non-selfadjoint operator generated in 2 (N, E) by the matrix difference expression ( y) n = A n-1 y n-1 + B n y n + A n y n+1 , n β N, and the boundary condition y 0 = 0. In this paper we investigate the Jost solution, the continuous spectrum, the eigenvalues and the spectral singu