On the Limited p-Schur Property of Some Operator Spaces

Dehghani, M.B.; Moshtaghioun, S.M.; Dehghani, M.

doi:10.28924/2291-8639-16-2018-50

Research Article

On the Limited p-Schur Property of Some Operator Spaces

M.B. Dehghani
S.M. Moshtaghioun¹*
M. Dehghani

Yazd University

* Corresponding author

Abstract

We introduce and study the notion of limited $p$-Schur property ($1\leq p\leq\infty$) of Banach spaces. Also, we establish some necessary and sufficient conditions under which some operator spaces have the limited $p$-Schur property. In particular, we prove that if $X$ and $Y$ are two Banach spaces such that $X$ contains no copy of $\ell_1$ and $Y$ has the limited $p$-Schur property, then $K(X,Y)$ (the space of all compact operators from $X$ into $Y$) has the limited $p$-Schur property.

How to Cite

M. B. Dehghani, S. M. Moshtaghioun, M. Dehghani, On the Limited p-Schur Property of Some Operator Spaces, Int. J. Anal. Appl. 16 (2018), 50–61. https://doi.org/10.28924/2291-8639-16-2018-50

BibTeX

@article{Dehghani2018,
  author  = {Dehghani, M.B. and Moshtaghioun, S.M. and Dehghani, M.},
  title   = {On the Limited p-Schur Property of Some Operator Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {50--61},
  doi     = {10.28924/2291-8639-16-2018-50}
}

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