Research article

The new class $L_{z,p,E}$ of $s-$ type operators

  • Received: 09 April 2019 Accepted: 02 June 2019 Published: 05 July 2019
  • MSC : 47B06, 47B37, 47L20

  • The purpose of this study is to introduce the class of s-type $Z\left(u, v; l_{p}\left(E\right) \right) $ operators, which we denote by $L_{z, p, E}\left(X, Y\right) $, we prove that this class is an operator ideal and quasi-Banach operator ideal by a quasi-norm defined on this class. Then we define classes using other examples of $ s$-number sequences. We conclude by investigating which of these classes are injective, surjective or symmetric.

    Citation: Pınar Zengin Alp, Emrah Evren Kara. The new class $L_{z,p,E}$ of $s-$ type operators[J]. AIMS Mathematics, 2019, 4(3): 779-791. doi: 10.3934/math.2019.3.779

    Related Papers:

  • The purpose of this study is to introduce the class of s-type $Z\left(u, v; l_{p}\left(E\right) \right) $ operators, which we denote by $L_{z, p, E}\left(X, Y\right) $, we prove that this class is an operator ideal and quasi-Banach operator ideal by a quasi-norm defined on this class. Then we define classes using other examples of $ s$-number sequences. We conclude by investigating which of these classes are injective, surjective or symmetric.


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  • © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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