Accession Number:

AD0272265

Title:

ON THE EXTENSION PROPERTY FOR COMPACT OPERATORS

Descriptive Note:

Corporate Author:

HEBREW UNIV JERUSALEM (ISRAEL)

Personal Author(s):

• LINDENSTRAUSS,J.

Report Date:

1961-10-01

Pagination or Media Count:

1.0

Abstract:

Several characterizations of Banach spaces having an extension property for compact operators are considered. In particular a characterization of such spaces is given in terms of intersection properties of their spheres similar to that given by Nachbin for P1 spaces. Our Theorem 1 extends previous results of Grothendieck. Some applications are given among them a new characterization of CK spaces. In this connection some problems raised by Aronszajn and Panitchpakdi and by Grothendieck and Nachbin are solved. Some results are presented concerning the C.L. spaces introduced recently by Fullerton. Author

Descriptors:

• *FUNCTIONAL ANALYSIS
• *OPERATORS(MATHEMATICS)
• ALGEBRAIC TOPOLOGY
• SEQUENCES(MATHEMATICS)
• TRANSFORMATIONS(MATHEMATICS)

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE