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A Note on a-Weyl's Theorem

✍ Scribed by Young Min Han; Slaviša V. Djordjević

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
120 KB
Volume
260
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

If T or T * is log-hyponormal then for every f g H T , Weyl's theorem holds Ž .

Ž Ž .. for f T , where H T denotes the set of all analytic functions on an open Ž . neighborhood of T . Moreover, if T * is p-hyponormal or log-hyponormal or Ž Ž .. Ž . M-hyponormal then for every f g H T , a-Weyl's theorem holds for f T . Also Ä Ž . 4 it is shown that if we let A [ T g B H : T * is log-hyponormal then the approximate point spectrum, the essential approximate point spectrum, and the Browder essential approximate point spectrum are continuous in A. ᮊ 2001 Aca- demic Press

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