|
This article is cited in 1 scientific paper (total in 1 paper)
Certain classes of continuous linear operations
O. I. Reinov Institute of Social and Economical Problems, Academy of Sciences of the USSR
Abstract:
Certain classes of continuous linear operators in Banach and locally convex spaces are studied. A characterization of operators $T:X\to Y$, transforming bounded sets of the Banach space $X$ into conditionally weakly compact sets of the Banach space $Y$, is given, and also a particular case where $X=C(K)$ is considered. It is proved that if $E$ is a Fréchet space and $F$ is a complete ($\mathscr{DF}$)-space, then the classes of absolutely summing and Nikodýmizing operators from $E$ into $F$ coincide.
Received: 20.09.1976
Citation:
O. I. Reinov, “Certain classes of continuous linear operations”, Mat. Zametki, 23:2 (1978), 285–296; Math. Notes, 23:2 (1978), 154–159
Linking options:
https://www.mathnet.ru/eng/mzm8143 https://www.mathnet.ru/eng/mzm/v23/i2/p285
|
Statistics & downloads: |
Abstract page: | 160 | Full-text PDF : | 70 | First page: | 1 |
|