Limited Sets in  C ( K )‐Spaces and Examples Concerning the Gelfand‐Phillips‐Property | Zendy

Schlumprecht Thomas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Limited Sets in C ( K )‐Spaces and Examples Concerning the Gelfand‐Phillips‐Property

Author(s) -

Schlumprecht Thomas

Publication year - 1992

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19921570105

Subject(s) - mathematics , property (philosophy) , unit sphere , pure mathematics , dual (grammatical number) , space (punctuation) , philosophy , epistemology , linguistics

In this paper we give criteria for limitedness in C ( K )‐spaces and discuss the Gelfand‐Phillips‐property. We show that the Gelfand‐Phillips‐property is not a three‐space‐property, that l 1 ⊄ X does not imply the Gelfand‐Phillips‐property of X and that the Gelfand‐Phillips‐property of a space X does not imply that the dual unit ball contains a w *‐sequentially precompact subset which norms X up to a constant.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research