Research article

A Fuglede-Putnam property for N-class A(k) operators

  • Received: 06 May 2020 Accepted: 17 September 2020 Published: 22 September 2020
  • MSC : 47A30, 47B47

  • This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.

    Citation: Ahmed Bachir, Durairaj Senthilkumar, Nawal Ali Sayyaf. A Fuglede-Putnam property for N-class A(k) operators[J]. AIMS Mathematics, 2020, 5(6): 7458-7466. doi: 10.3934/math.2020477

    Related Papers:

  • This paper studies the Fuglede-Putnam's property for $N$-class $A(k)$ operators and $\mathcal{Y}$ class operators. Some range-kernel orthogonality results of the generalized derivation induced by the above classes of operators are given.


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    [10] D. Senthilkumar, S. Shylaja, Weyl's theorems for N-class A(k) operators and algebraically N-class A(k) operators, (communicated).
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    [12] K. Tanahashi, On the converse of the Fuglede-Putnam Theorem, Acta Sci. Math. (Szeged), 43 (1981), 123-125.
    [13] A. Uchiyama, T. Yoshino, On the class $\mathcal{Y}$ operators, Nihonkai Math. J., 8 (1997), 179-194.
    [14] A. Uchiyama, K. Tanahashi, Fuglede-Putnam's theorem for p-hyponormal or log-hyponormal operators, Glasg. Math. J., 44 (2002), 397-410.
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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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