Proceedings of the American Mathematical Society

Applications of Michael's continuous selection theorem to operator extension problems

Author(s): M. Zippin
Journal: Proc. Amer. Math. Soc. 127 (1999), 1371-1378.
MSC (1991): Primary 46E15
Posted: January 28, 1999
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Abstract: A global approach and Michael's continuous selection theorem are used to prove a slightly improved version of the Lindenstrauss - Pelczynski extension theorem for operators from subspaces of

into

spaces.

[J-Z]: W. B. Johnson and M. Zippin, Extension of operators form subspaces of $c_0(\Gamma )$ into spaces, Proc. AMS 107 No. 3 1989, 751-754. MR 90b:46045
[L-P]: J. Lindenstrauss and A. Pe{\l}czy\'{n}ski, Contributions to the theory of the classical Banach spaces, J. Functional Analysis 8 (1971), 225-249. MR 45:863
[L-T]: J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I, sequence spaces, Springer-Verlag, 1977. MR 58:17766
[M]: E. Michael, Continuous selections I, Ann. of Math. 63 (1956), 361-382. MR 17:990e
[Z]: M. Zippin, A global approach to certain operator extension problems, Longhorn Notes, Lecture Notes in Math. 1470 Springer-Verlag (1991) 78-84. MR 93b:47011

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46E15

M. Zippin
Affiliation: Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel
Email: zippin@math.huji.ac.il

DOI: 10.1090/S0002-9939-99-04777-2
PII: S 0002-9939(99)04777-2
Received by editor(s): July 1, 1996
Received by editor(s) in revised form: August 7, 1997
Posted: January 28, 1999
Additional Notes: The author was supported in part by a grant of the U.S.-Israel Binational Science Foundation, and was a participant at the Workshop in Linear Analysis and Probability, Texas A & M University, NFS DMS 9311902
Communicated by: Dale Alspach
Copyright of article: Copyright 1999, American Mathematical Society

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