Abstract
By introducing the concept of limited completely continuous operators between two arbitrary Banach spaces $X$ and $Y$, we give some properties of this concept related to some well known classes of operators and specially, related to the Gelfand-Phillips property of the space $X$ or $Y$. Then some necessary and sufficient conditions for the Gelfand--Phillips property of closed subspace $M$ of some operator spaces, with respect to limited complete continuity of some operators on $M$, so-called, evaluation operators, are verified.
Citation
S. Mohammad Moshtaghioun. Manijeh Salimi. "The Gelfand--Phillips property in closed subspaces of some operator spaces." Banach J. Math. Anal. 5 (2) 84 - 92, 2011. https://doi.org/10.15352/bjma/1313363004
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