Weyl's theorem for algebrascally wF(p,r,q) operators with p,q>0 and q≥1

• Published in: Український математичний журнал
• Date: 2011
• Main Author: Rashid, M.H.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166357
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weyl's theorem for algebrascally wF(p,r,q) operators with p,q>0 and q≥1 / M.H.M. Rashid // Український математичний журнал. — 2011. — Т. 63, № 8. — С. 1092–1102. — Бібліогр.: 25 назв. — англ.

If T or T∗ is an algebraically wF(p,r,q) operator with p,r>0 and q≥1 acting on an infinite-dimensional separable Hilbert space, then we prove that the Weyl theorem holds for f(T), for every f∈Hol(σ(T)), where Hol(σ(T)) denotes the set of all analytic functions in an open neighborhood of σ(T). Mor...