On (A,m)-expansive operators

• Autorzy: Sungeun Jung , Yoenha Kim , Eungil Ko , Ji Eun Lee
• Języki publikacji: EN

Abstrakty

EN

We give several conditions for (A,m)-expansive operators to have the single-valued extension property. We also provide some spectral properties of such operators. Moreover, we prove that the A-covariance of any (A,2)-expansive operator T ∈ ℒ(ℋ ) is positive, showing that there exists a reducing subspace ℳ on which T is (A,2)-isometric. In addition, we verify that Weyl's theorem holds for an operator T ∈ ℒ(ℋ ) provided that T is (T*T,2)-expansive. We next study (A,m)-isometric operators as a special case of (A,m)-expansive operators. Finally, we prove that every operator T ∈ ℒ(ℋ ) which is (T*T,2)-isometric has a scalar extension.

Kategorie tematyczne

• 47A63: Operator inequalities
• 47A11: Local spectral properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 213
• Numer: 1
• Strony: 3-23

Daty

wydano

2012

Twórcy

autor

Sungeun Jung

• Institute of Mathematical Sciences, Ewha Womans University, 120-750 Seoul, Korea

autor

Yoenha Kim

• Institute of Mathematical Sciences, Ewha Womans University, 120-750 Seoul, Korea

autor

Eungil Ko

• Department of Mathematics, Ewha Womans University, 120-750 Seoul, Kore

autor

Ji Eun Lee

• Institute of Mathematical Sciences, Ewha Womans University, 120-750 Seoul, Korea

Identyfikatory

DOI

10.4064/sm213-1-2