On distinct representatives and mapping theorems
โ Scribed by Phillip A Ostrand
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 327 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We show that, for each orientable surface ฮฃ, there is a constant __c__~ฮฃ~ so that, if __G__~1~ and __G__~2~ are embedded simultaneously in ฮฃ, with representativities __r__~1~ and __r__~2~, respectively, then the minimum number cr(__G__~1~, __G__~2~) of crossings between the two maps sat
respectively for the spectrum and the Weyl spectrum of T ; moreover, Weyl's ลฝ . theorem holds for f T q F if ''dominant'' is replaced by ''M-hyponormal,'' where F is any finite rank operator commuting with T. These generalize earlier results for hyponormal operators. It is also shown that there exis