Analytic functions into Banach spaces and a new characterization for isomorphic embeddings
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- by V. Wrobel PDF
- Proc. Amer. Math. Soc. 85 (1982), 539-543 Request permission
Abstract:
Let $T:E \to F$ be a continuous linear injection between complex Banach spaces. It is shown that $T$ is a topological monomorphism if and only if every function $f:D \to E$ on the open unit disc of the complex plane, for which $T \circ f$ is analytic, is itself analytic.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 539-543
- MSC: Primary 46G20; Secondary 30G30
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660600-X
- MathSciNet review: 660600