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1995/1996 On “Lipschitz” subspaces of the space of continuous functions
Wojciech Kosek
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Real Anal. Exchange 21(2): 696-699 (1995/1996).


A theorem of Grothendieck states that every closed subspace of the Banach space \(L^p(\mu)\), where \(\mu\) is a finite measure on a locally compact topological space, \(p \ge 1\), consisting of essentially bounded functions must have finite dimension. An analog of this result is proved concerning subspaces of the space of continuous functions on a compact metric space consisting of functions satisfying different Lipschitz-type conditions.


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Wojciech Kosek. "On “Lipschitz” subspaces of the space of continuous functions." Real Anal. Exchange 21 (2) 696 - 699, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 14 June 2012

zbMATH: 0879.26016
MathSciNet: MR1407281

Primary: 26A16
Secondary: ‎46E15

Keywords: Banach space , Closed Graph Theorem

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 2 • 1995/1996
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