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On Lattice Analogues of Absolutely Summing Constants*

Published online by Cambridge University Press:  20 November 2018

J. Szulga
J. Szulga*
Affiliation:
Institute of Mathematics, Wrocław, University50-384 Wrocław, Poland
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Abstract

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Let E be a Banach lattice,

where x1, …, xn ∊ E. We study properties of constants

A characterization of AM-spaces is obtained which generalizes the result of Abramocič, Positselskiĭ, Yanovskii. Asymptotic estimates of φp for some classical finite dimensional lattices are given.

Keywords

46B3060B99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 1 , 01 March 1983 , pp. 63 - 69
Copyright
Copyright © Canadian Mathematical Society 1983

Footnotes

Acknowledgement. The author wishes to thank Professor W. A. Woyczynski for his attention and for the help in the redaction of this paper.

*

The research for this paper was begun when the author was a guest of the Cleveland State University, Ohio, U.S.A.

References

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