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On (A;m)-expansive operators

Title
On (A;m)-expansive operators
Authors
Jung S.Kim Y.Ko E.Lee J.E.
Ewha Authors
고응일이지은
SCOPUS Author ID
고응일scopus
Issue Date
2012
Journal Title
Studia Mathematica
ISSN
0039-3223JCR Link
Citation
vol. 213, no. 1, pp. 3 - 23
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
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 subspaceMon 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. © Instytut Matematyczny PAN, 2012.
DOI
10.4064/sm213-1-2
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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