Operator radii of commuting products-Reference-Cited by-同舟云学术

Operator radii of commuting products

Published:1976 Issue:1 Volume:56 Page:203-210
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Okubo K.,Ando T.

Abstract

Operator radii w ρ ( T ) {w_\rho }(T) for a bounded linear operator T T on a Hilbert space were introduced in connection with unitary ρ \rho -dilations. We shall be concerned with universal estimates for the ratios \[ w ρ ( S T ) / ( w σ ( S ) ⋅ w ρ ( T ) ) {w_\rho }(ST)/({w_\sigma }(S) \cdot {w_\rho }(T)) \] for commuting operators S , T S,T and σ , ρ > 0 \sigma ,\rho > 0 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-056-01/S0002-9939-1976-0405132-6/S0002-9939-1976-0405132-6.pdf

Reference7 articles.

1. Convexity properties of operator radii associated with unitary 𝜌-dilations;Ando, Tsuyoshi;Michigan Math. J.,1973

2. Norm relations and skew dilations;Berger, C. A.;Acta Sci. Math. (Szeged),1967

3. The powers of an operator of numerical radius one;Crabb, Michael J.;Michigan Math. J.,1971

4. On the power-bounded operators of Sz.-Nagy and Foiaş;Holbrook, John A. R.;Acta Sci. Math. (Szeged),1968

5. Inequalities governing the operator radii associated with unitary 𝜌-dilations;Holbrook, John A. R.;Michigan Math. J.,1971

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