논문KCI 등재
Properties of a $k$th root of a hyponormal operator
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Abstract
In this paper, we study some properties of (sqrt[k]{H})(defined below). In particular we show that an operator T in(sqrt[k]{H}) satisfying the translation invariant property ishyponormal and an invertible operator T in (sqrt[k]{H}) andits inverse T^{-1} have a common nontrivial invariant closedset. Also we study some cases which have nontrivial invariantsubspaces for an operator in (sqrt{H}).
관련 논문AI추천
$k$-th roots of $p$-hyponormal operators고응일, 전인호, B. P. Duggal대한수학회 · 대한수학회보2005 · 제42권 제3호Spectral properties of $p$-hyponormal and log-hyponormal operators전인호, Bhagwati P. Duggal대한수학회 · 대한수학회보2005 · 제42권 제3호The hyperinvariant subspace problem for quasi-$n$-hyponormal operators권은영, 김안현대한수학회 · 대한수학회논문집2007 · 제22권 제3호Spectral continuity of essentially $p$--hyponormal operators권은영, 김안현대한수학회 · 대한수학회보2006 · 제43권 제2호An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal OperatorsMi young Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호k-hyponormality and weighted shifts이전익강원경기수학회 · 한국수학논문집2009 · 제17권 제3호
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