• Title/Summary/Keyword: commuting

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

  • Tosic, Marina
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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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
    • Bulletin of the Korean Mathematical Society
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    • v.29 no.2
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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 THE JOINT WEYL AND BROWDER SPECTRA OF HYPONORMAL OPERTORS

  • Lee, Young-Yoon
    • Communications of the Korean Mathematical Society
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    • v.16 no.2
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    • pp.235-241
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    • 2001
  • In this paper we study some properties of he joint Weyl and Browder spectra for the slightly larger classes containing doubly commuting n-tuples of hyponormal operators.

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ON JOINT WEYL AND BROWDER SPECTRA

  • Kim, Jin-Chun
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.1
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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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COMMUTANTS OF TOEPLITZ OPERATORS WITH POLYNOMIAL SYMBOLS ON THE DIRICHLET SPACE

  • Chen, Yong;Lee, Young Joo
    • Communications of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.533-542
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    • 2019
  • We study commutants of Toeplitz operators acting on the Dirichlet space of the unit disk and prove that an operator in the Toeplitz algebra commuting with a Toeplitz operator with a nonconstant polynomial symbol must be a Toeplitz operator with an analytic symbol.

CENTRALIZING AND COMMUTING INVOLUTION IN RINGS WITH DERIVATIONS

  • Khan, Abdul Nadim
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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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.