Results 1 to 10 of about 17,648 (149)

Every Banach ideal of polynomials is compatible with an operator ideal [PDF]

Monatshefte für Mathematik, 2012
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a coherent sequence of ideals of k ...
Carando, Daniel Germán, Dimant, Veronica Isabel, Muro, Luis Santiago Miguel   +2 more
core   +4 more sources

Small operator ideals formed by s numbers on generalized Cesáro and Orlicz sequence spaces [PDF]

Journal of Inequalities and Applications, 2018
In this article, we establish sufficient conditions on the generalized Cesáro and Orlicz sequence spaces E $\mathbb{E}$ such that the class SE $S_{\mathbb{E}}$ of all bounded linear operators between arbitrary Banach spaces with its sequence of s-numbers
Nashat Faried, Awad A. Bakery
doaj   +2 more sources

Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]

Proceedings of the Estonian Academy of Sciences, 2017
Let V ;W∞ and W be the operator ideals of completely continuous, weakly ∞-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = W∞ ◦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
doaj   +2 more sources

A note on Nakano generalized difference sequence space

Advances in Difference Equations, 2020
In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Pre-Quasi Simple Banach Operator Ideal Generated by s−Numbers

Journal of Function Spaces, 2020
Let E be a weighted Nakano sequence space or generalized Cesáro sequence space defined by weighted mean and by using s−numbers of operators from a Banach space X into a Banach space Y.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Some properties of pre-quasi norm on Orlicz sequence space

Journal of Inequalities and Applications, 2020
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

The Ideal of σ-Nuclear Operators and Its Associated Tensor Norm

Mathematics, 2020
We introduce a new tensor norm ( σ -tensor norm) and show that it is associated with the ideal of σ -nuclear operators. In this paper, we investigate the ideal of σ -nuclear operators and the σ -tensor norm.
Ju Myung Kim, Keun Young Lee
doaj   +1 more source

The New Class $L_{p,\Phi}$ of $s$-Type Operators

Universal Journal of Mathematics and Applications, 2023
In this study, the class of $s$-type $\ell_{p}( \Phi )$ operators is introduced and it is shown that $L_{p,\Phi}$ is a quasi-Banach operator ideal.
Pınar Zengin Alp
doaj   +1 more source

Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal

Journal of Mathematics, 2020
In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

Fuzzy Operator Ideals

Journal of Applied Science and Engineering, 2022
Although the systematic emergence of the fuzzy functional analysis theory has started in the last few years, we are starting to construct a new theory of fuzzy operator ideals inspired by the classical (crisp) operator ideals theory.
Laith K. Shaakir, Manaf Adnan Saleh Saleh, Ranen Z. Ahmood   +2 more
doaj   +1 more source