Abstract and Applied Analysis

Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence

Awad A. Bakery

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Abstract

The aim of this paper is to give the sufficient conditions on the sequence space C e s θ , p defined in Lim (1977) such that the class of all bounded linear operators between any arbitrary Banach spaces with nth approximation numbers of the bounded linear operators in C e s θ , p form an operator ideal.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 419560, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412273200

Digital Object Identifier
doi:10.1155/2014/419560

Mathematical Reviews number (MathSciNet)
MR3176742

Zentralblatt MATH identifier
07022357

Citation

Bakery, Awad A. Operator Ideal of Cesaro Type Sequence Spaces Involving Lacunary Sequence. Abstr. Appl. Anal. 2014 (2014), Article ID 419560, 6 pages. doi:10.1155/2014/419560. https://projecteuclid.org/euclid.aaa/1412273200


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