UNCONDITIONALLY CONVERGENT SERIES OF OPERATORS AND NARROW OPERATORS ON $L_1$
Copyright policy )UNCONDITIONALLY CONVERGENT SERIES OF OPERATORS AND NARROW OPERATORS ON $L_1$
We introduce a class of operators on $L_1$ that is stable under taking sums of pointwise unconditionally convergent series, contains all compact operators and does not contain isomorphic embeddings. It follows that any operator from $L_1$ into a space with an unconditional basis belongs to this class.
- University of Missouri Health System United States
- University of Missouri United States
- V.N. Karazin Kharkiv National University Ukraine
- Yahoo! United States
- Freie Universität Berlin Germany
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, compact operator, Functional Analysis (math.FA), Mathematics - Functional Analysis, Linear operators defined by compactness properties, FOS: Mathematics, Isometric theory of Banach spaces, unconditionally convergent series, 46B04, 46B15, 46B25, 47B07, narrow operator, sign-embedding operator, Classical Banach spaces in the general theory
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, compact operator, Functional Analysis (math.FA), Mathematics - Functional Analysis, Linear operators defined by compactness properties, FOS: Mathematics, Isometric theory of Banach spaces, unconditionally convergent series, 46B04, 46B15, 46B25, 47B07, narrow operator, sign-embedding operator, Classical Banach spaces in the general theory
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