Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 43 Issue: 4

On property (gw1)

M. H. M. Rashid(DEPT. OF MATHEMATICS & STATISTICS, FACULTY OF SCIENCE, MU’TAH UNIVERSITY)
Sayfa
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Yayın Tarihi
2014-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Classes of operators are considered as illustrating examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this note we introduce and study the property (gw1), which extend property (gw) introduced by Amouch and Berkani in [7].
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Temel Bulgular & Veri:We investigate the property (gw1) in connection with Weyl type theorems, and establish for abounded linear operator defined on a Banach space the sufficient and necessary conditions for which property (gw1) holds.
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Sonuç & Katkı:Classes of operators are considered as illustrating examples.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized Weyl’s theorem · Generalized a-Weyl’s theorem · Property (gw1)

Abstract

In this note we introduce and study the property (gw1), which extend property (gw) introduced by Amouch and Berkani in [7]. We investigate the property (gw1) in connection with Weyl type theorems, and establish for abounded linear operator defined on a Banach space the sufficient and necessary conditions for which property (gw1) holds. We also study the property (gw1) for operators satisfying the single valued extension property (SVEP). Classes of operators are considered as illustrating examples.

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Bu Makaleye Atıf Yap

Rashid, M. H. M. (2014). On property (gw1). Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 4. https://ajindex.com/articles/1403388

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