Some topological properties of stable norms.
J. Bastero Eleizalde, J. M. Mira Ros (1987)
Extracta Mathematicae
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Displaying similar documents to “The Cayley transform of Banach algebras.”
Some topological properties of stable norms.
Stable matrices, the Cayley transform, and convergent matrices.
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In this paper we make use of a new concept of φ-stability for Banach spaces, where φ is a function. If a Banach space X and the function φ satisfy some natural conditions, then X is saturated with subspaces that are φ-stable (cf. Lemma 2.1 and Corollary 7.8). In a φ-stable Banach space one can easily construct basic sequences which have a property P(φ) defined in terms of φ (cf. Theorem 4.5). This leads us, for appropriate functions φ, to new results on the existence...
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Länger, Helmut (1994)
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Embedding polydisk algebras into the disk algebra and an application to stable ranks
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It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.