NDLI: Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions

Content Provider	Scilit
Author	Swartz, Charles
Copyright Year	1973
Description	A. Pietsch has shown that the class of dominated linear operators on coincides with the class of absolutely summing operators. If the space is replaced by , where X is a Banach space, this is no longer the case. However, any absolutely summing operator is always dominated, and the classes of operators coincide exactly when X is finite dimensional. A characterization of absolutely summing operators on is given.
Related Links	http://www.ams.org/tran/1973-179-00/S0002-9947-1973-0320796-5/S0002-9947-1973-0320796-5.pdf
Ending Page	131
Page Count	9
Starting Page	123
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1996493
Journal	Transactions of the American Mathematical Society
Volume Number	179
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Operators On Spaces Absolutely Summing Dominated Operators Vector Valued Continuous Functions Valued Continuous Summing and Dominated
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions