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On (A,m)-expansive operators

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Jung S., Kim Y., Ko E., Lee J.

Studia Mathematica

2012

tom 213

nr 1

3-23

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.

Ograniczanie wyników

1 Studia Mathematica

1 Jung S.

1 Kim Y.

1 Ko E.

1 Lee J.

1 2012

Wyniki wyszukiwania

On (A,m)-expansive operators