On the modulus of cone absolutely summing operators and vector measures of bounded variation
نویسندگان
چکیده
منابع مشابه
A Note on Lineability of Sets of Bounded Non-absolutely Summing Operators
In this note we sketch a method to prove that several sets of bounded non-absolutely p-summing operators are lineable. We partially solve a question posed by Puglisi and Seoane-Sepúlveda on this subject.
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15 صفحه اولAbsolutely Summing Operators on Non Commutative C-algebras and Applications
Let E be a Banach space that does not contain any copy of l and A be a non commutative C∗-algebra. We prove that every absolutely summing operator from A into E∗ is compact, thus answering a question of Pe lczynski. As application, we show that if G is a compact metrizable abelian group and Λ is a Riesz subset of its dual then every countably additiveA∗-valued measure with bounded variation and...
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A linear and continuous operator between Banach spaces is said to be absolutely summing if it maps unconditionally convergent series into absolutely convergent series. Moreover, it improves properties of stochastic processes. Indeed, N.Ghoussoub in [7] proved that an operator is absolutely summing if and only if it maps amarts (asymptotic martingales) into uniform amarts. In this paper we go a ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-0993756-4