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unconditional Bases in Banach Spaces of Absolutely p ‐Summing Operators
Author(s) -
Schütt I.
Publication year - 1990
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.19901460711
Subject(s) - mathematics , banach space , pure mathematics , lp space , norm (philosophy) , unconditional convergence , finite rank operator , channel (broadcasting) , rate of convergence , electrical engineering , political science , compact convergence , law , engineering
In the present paper we give conditions for Banach spaces of absolutely p ‐summing operators to have unconditional bases. In this case we obtain methods to estimate the π p ‐norm. Also we consider spaces of absolutely p ‐summing operators with “bad” structure, i.e., without local unconditional structure.