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In this paper, we introduces the property (aBw), a variant of generalized a-Weyl’s theorem for a bounded linear operator T on an infinite-dimensional Banach space X$\mathbb {X}$. We establish several… Click to show full abstract
In this paper, we introduces the property (aBw), a variant of generalized a-Weyl’s theorem for a bounded linear operator T on an infinite-dimensional Banach space X$\mathbb {X}$. We establish several sufficient and necessary conditions for which property (aBw) holds. Also, we prove that if T∈L(X)$T\in \mathbf {L(\mathbb {X})}$ satisfies property (aBw) then T satisfies property (Bw). Certain conditions are explored on Hilbert space operators T and S so that T ⊕ S obeys property (aBw).
Keywords:
abw weyl;
property;
property abw;
weyl type
Journal Title: Acta Mathematica Vietnamica
Year Published: 2017
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Journal Title: Acta Mathematica Vietnamica
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!