논문KCI 등재
Paranormal contractions and invariant subspaces
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Abstract
It is shown that if a paranormal contraction T has no nontrivialinvariant subspace, then it is a proper contraction. Moreover, thenonnegative operatorQ=T^{2*}T^2-2kern.5ptT^*Tkern-.5pt+kern-.5ptI also is aproper contraction. If a quasihyponormal contraction has nonontrivial invariant subspace then, in addition, its defectoperator D is a proper contraction and its itself-commutator isa trace-class strict contraction. Furthermore, if one of Q orD is compact, then so is the other, and Q and D are strictcontraction.
관련 논문AI추천
Contractions of Class Q and Invariant SubspacesB. P. Duggal, C. S. Kubrusly, N. Levan대한수학회 · 대한수학회보2005 · 제42권 제1호The hyperinvariant subspace problem for quasi-$n$-hyponormal operators권은영, 김안현대한수학회 · 대한수학회논문집2007 · 제22권 제3호On a class of operators related to paranormal operators이미영, 이상헌대한수학회 · 대한수학회지2007 · 제44권 제1호A note on invariant subspaces for operator algebrasAlan Lambert대한수학회 · 대한수학회보2003 · 제40권 제4호On k-quasi-class A contractions김인현, 전인호강원경기수학회 · 한국수학논문집2014 · 제22권 제1호On Common Invariant Subspaces of OperatorsCarl Pearcy, Eungil Ko, Il Bong Jung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제1호
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