논문KCI 등재
An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal Operators
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Abstract
The equation AX = XB implies AX = XB when A and B are normal(Fuglede-Putnam Theorem). In this paper, the hypothesis on A and B can be relaxed by using a Hilbert-Schmidt operator X : LetA be (p;k)-quasihyponormal and let Bbe invertible (p;k)-quasihyponormal such that AX = XB for a Hilbert-Schmidt operatorX and kjAj1 pk kjB1j1 pk 1. Then AX = XB.
참고문헌 (6)
- "On p-hyponormal operators for 0 < p < 1", 13, pp.307~315 (1990)
- "Extension of a theorem of Fuglede and Putnam", 71, pp.113~114 (1978)
- "An extension of a theorem of Fuglede-Putnam theorem to quasihyponormaloperators using a Hilbert-Schmidt operator", 1, pp.73~76 (1994)
- "Invitation to linear operators" (2001), Taylor & Francis Inc.
- "A Hilbert space problem book", new york (1974)
- "An extension of the Fuglede-Putnam theorem to p-quasihyponormal", 35, pp.319~324 (1998)
관련 논문AI추천
Fuglede-Putnam theorem for $p$-hyponormal or class ${\mathcal Y}$Atsushi Uchiyama, Kotaro Tanahashi, Salah Mecheri대한수학회 · 대한수학회보2006 · 제43권 제4호AN EXTENSION OF THE FUGLEDGE-UTNAM THEOREM TO w-HYPONORMAL PERATORS차형구한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제4호ON n-TUPLES OF TENSOR PRODUCTS OF p-HYPONORMAL OPERATORSB. P. Duggal, In Ho Jeon한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호Spectral 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 제3호On a class of operators related to paranormal operators이미영, 이상헌대한수학회 · 대한수학회지2007 · 제44권 제1호
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