Spectrum of Soft Compact Linear Operator with Properties

Khaleefah, Sabah A; Ahmed, Buthainah A. A.

doi:10.1088/1742-6596/1530/1/012107

Cited by 2 publications

(3 citation statements)

References 9 publications

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“…In 2004, researchers presented the Browder's theorem and a-Browder theorem as generalizations of a-Weyl's theorem [2]. Some spectrum properties has been studied for classes of operators that are bounded (see [3], [4], [5] and [6]).…”

Section: Introduction and Definitionmentioning

confidence: 99%

Perturbations of Weyl’s Theorems for Unbounded Class-A Operators

Sami

2023

Jour. Kufa Math. Comp.

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The significance of Weyl's spectrum is regional to the perturbation theory but recently it is related to operator theory in some theorems. The study of Weyl’s theorem has so far limited to the class of bounded operators, however, lately this study has been extended to some classes of unbounded operators such as hypanormal, posinormal and class- operators. The aim of this article is to continue study more spectral properties for class- operators. First, we use property to study property (b) and then show the equivalent of property (gb) with property (gw). Secondly, we start to study new spectral properties that was defined for bounded operators we start with and properties and show that for any operator that belongs to class- will possess them. Finally, we resuming our goal and give our last two properties and and prove them for , also we established the connection between these properties.

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Section: Introduction and Definitionmentioning

confidence: 99%

Perturbations of Weyl’s Theorems for Unbounded Class-A Operators

Sami

2023

Jour. Kufa Math. Comp.

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“…In other words, for , H ( ) can be represented as the set of -approximate elements of the soft set . Definition 2.2 [9] A soft set over is said to be an absolute soft set symbolized via ̃ if for every . Definition 2.3 [9] A soft set over is said to be a null soft set symbolized by ̃ if for every .…”

Section: Introductionmentioning

confidence: 99%

“…Definition 2.2 [9] A soft set over is said to be an absolute soft set symbolized via ̃ if for every . Definition 2.3 [9] A soft set over is said to be a null soft set symbolized by ̃ if for every . Definition 2.4 [2] Let be a non-empty set of elements and is a set of parameter.…”

Section: Introductionmentioning

confidence: 99%

On the Soft Stability of Soft Picard and Soft Mann Iteration Processes

Khaleefah

Ahmed

2022

eijs

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In this paper, we introduce new concepts that relates to soft space based on work that was previously presented by researchers in this regard. First we give the definition of Soft Contraction Operator and some examples. After that we introduce the concepts of soft Picard iteration and soft Mann iteration processes. We also give some examples to illustrate them. Many concepts in normed spaces have been generalized in soft normed spaces. One of the important concepts is the concept of stability of soft iteration in soft normed spaces. We discuss this concept by giving some lemmas that are used to prove some theorems about stability of soft iteration processes (with soft contraction operator) with soft Picard iteration procedure as well as soft Mann iteration procedure.

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Spectrum of Soft Compact Linear Operator with Properties

Cited by 2 publications

References 9 publications

Perturbations of Weyl’s Theorems for Unbounded Class-A Operators

Perturbations of Weyl’s Theorems for Unbounded Class-A Operators

On the Soft Stability of Soft Picard and Soft Mann Iteration Processes

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