Inequalities of Putnam and Berger-Shaw forp-quasihyponormal operators

On extensions of some Flugede–Putnam typ

On extensions of some Flugede–Putnam type theorems involving (p, k)-quasihyponormal, spectral, and dominant operators

✍ Kotaro Tanahashi; S. M. Patel; Atsushi Uchiyama 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 146 KB

## 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