Multiplicative Spectra of Banach Spaces
β Scribed by S. A. Shkarin; Yu. N. Kuznetsova
- Book ID
- 106433941
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 162 KB
- Volume
- 131
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from L 1 spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach space of multiple p-summing multilinear forms. We als
Let \(A \in \mathscr{L}(E)\) be a contraction. The famous Katznelson-Tzafriri theorem [11. Theorem 1] states that the spectral condition \(\sigma(A) \cap \Gamma \subseteq\{1\}\) is equivalent to the convergence of the orbit \(\left\{A^{n}(A-I): n=1,2, \ldots\right\}\) in norm to zero. Assume that th