On Statistical and Ideal Convergence of Sequences of Bounded Linear Operators

Authors

  • Enno Kolk

Keywords:

Banach space, bounded linear operator, ideal, I-convergence, I-boundedness, matrix method of summability, sequence space, statistical convergence, weak I-convergence, weak statistical convergence

Abstract

We introduce and study a new notion of ideal convergence of sequences of bounded linear operators in Banach spaces. Main results are applied for the characterization of some matrix maps and of weak ideal convergence in Banach spaces.

Author Biography

  • Enno Kolk
    Associate Professor (emeritus)

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Published

2015-07-25

Issue

Vol. 8 No. 3: (July 2015)

Section

Functional Analysis

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How to Cite

On Statistical and Ideal Convergence of Sequences of Bounded Linear Operators. (2015). European Journal of Pure and Applied Mathematics, 8(3), 357-367. https://www.ejpam.com/index.php/ejpam/article/view/1950