k-Quasihyponormal operators are subscalar
✍ Scribed by Eungil Ko
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1997
- Tongue
- English
- Weight
- 295 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0378-620X
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## Abstract A Hilbert space operator __S__ is called (__p, k__)‐quasihyponormal if __S__ \*^__k__^ ((__S__ \*__S__)^__p__^ – (__SS__ \*)^__p__^ )__S^k^__ ≥ 0 for an integer __k__ ≥ 1 and 0 < __p__ ≤ 1. In the present note, we consider (__p, k__)‐quasihyponormal operator __S__ ∈ __B__ (__H__) such
We investigate ordered pairs of nudear K ~T H E spaces between which every linear continuous map is compact. We give some sufficient conditions for such pairs in terms of non-existence of corninon complemented subspaces. I n particular, in the case when one of the spaces is a weakly stable power ser