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An Asymmetric Fuglede-Putnam's Theorem and Orthogonality

Bachir Ahmed|Abdelkder Segres
경북대학교 자연과학대학 수학과|2006.12|Kyungpook Mathematical Journal|제46권 제4호|pp. 497-502

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참고문헌

주제분류수학

초록

Abstract

An asymmetric Fuglede-Putnam theorem forp-hyponormal operators andclass (Y) is proved, as a consequence of this result, we obtain that the range of the gener-alized derivation induced by the above classes of operators is orthogonal to its kernel.

참고문헌 (12)

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  2. J. H. Anderson, "On normal derivation", 38, pp.135~140 (1973)
  3. J. H. Anderson, "Properties which normal operators share with normalderivations and related operators", 61, pp.313~325 (1975)
  4. M. Ch?o, "Spectral properties of p-hyponormal operators for 0 < p < 1=2", 36, pp.117~122 (1992)
  5. M. Ch?o, "p-hyponormal operators for 0 < p < 1=2", 33, pp.23~29 (1993)
  6. B. P. Duggal, "On intertwining operators", 106, pp.139~148 (1988)
  7. B. P. Duggal, "On dominant operators", 46, pp.353~359 (1986)
  8. C.R. Putnam, "Hyponormal contractions and strong power convergences", 57, pp.105~110 (1975)
  9. J.G.Stampfli, "On dominant operators", 84, pp.33~36 (1977)
  10. H. Tadashi, "A note on p-hyponormal operators", 125, pp.221~230 (1997)
  11. A. Uchiyama, "Berger-Shaw？s theorem for p-hyponormal operators", 33, pp.307~315 (1997)
  12. "Fuglede-Putnam？s theorem for p-hyponormal operators", 3, pp.397~416 (2002)

관련 논문AI추천

An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal OperatorsMi young Lee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Fuglede-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 제4호The hyperinvariant subspace problem for quasi-$n$-hyponormal operators권은영, 김안현대한수학회 · 대한수학회논문집2007 · 제22권 제3호A note on invariant subspaces for operator algebrasAlan Lambert대한수학회 · 대한수학회보2003 · 제40권 제4호On a class of operators related to paranormal operators이미영, 이상헌대한수학회 · 대한수학회지2007 · 제44권 제1호

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