• 제목/요약/키워드: commuting

검색결과 395건 처리시간 0.023초

CHARACTERIZATIONS AND THE MOORE-PENROSE INVERSE OF HYPERGENERALIZED K-PROJECTORS

  • Tosic, Marina
    • 대한수학회보
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    • 제51권2호
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    • pp.501-510
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    • 2014
  • We characterize hypergeneralized k-projectors (i.e., $A^k=A^{\dag}$). Also, some representation for the Moore-Penrose inverse of a linear combination of hypergeneralized k-projectors is found and the invertibility for some linear combinations of commuting hypergeneralized k-projectors is considered.

Commuting involutions in a left artinian ring

  • Han, Juncheol
    • 대한수학회보
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    • 제29권2호
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    • pp.221-226
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    • 1992
  • The involutions in a left Artinian ring A with identity are investigated. Those left Artinian rings A for which 2 is a unit in A and the set of involutions in A forms a finite abelian group are characterized by the number of involutions in A.

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ON JOINT WEYL AND BROWDER SPECTRA

  • Kim, Jin-Chun
    • 대한수학회보
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    • 제37권1호
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    • pp.53-62
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    • 2000
  • In this paper we explore relations between joint Weyl and Browder spectra. Also, we give a spectral characterization of the Taylor-Browder spectrum for special classes of doubly commuting n-tuples of operators and then give a partial answer to Duggal's question.

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CENTRALIZING AND COMMUTING INVOLUTION IN RINGS WITH DERIVATIONS

  • Khan, Abdul Nadim
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1099-1104
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    • 2019
  • In [1], Ali and Dar proved the ${\ast}$-version of classical theorem due to Posner [15, Theorem] with involution of the second kind. The main objective of this paper is to improve the above mentioned result without the condition of the second kind involution. Moreover, a related result has been discussed.