Schwarz'S lemma in normed linear spaces.
Proc Natl Acad Sci U S A
; 62(4): 1014-7, 1969 Apr.
Article
em En
| MEDLINE
| ID: mdl-16591741
ABSTRACT
In this paper we show that any Fréchet holomorphic function mapping the open unit ball of one normed linear space into the closed unit ball of another must be a linear mapping if the Fréchet derivative of the function at zero is a surjective isometry. From this fact we deduce a Banach-Stone theorem for operator algebras which generalizes that of R. V. Kadison.
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01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Proc Natl Acad Sci U S A
Ano de publicação:
1969
Tipo de documento:
Article