Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (5): 1281-1293.

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Similarity and Unitary Similarity of a Class of Upper Triangular Operator Matrices

Liqiong Lin1(),Jiahua Que2(),Yunnan Zhang2()   

  1. 1 School of Mathematics and Statistics, Fuzhou University, Fuzhou 350117
    2 School of Mathematics and Statistics, Fujian Normal University, Fuzhou 350108
  • Received:2021-07-23 Online:2022-10-26 Published:2022-09-30
  • Supported by:
    the NSFC(11971108);the Natural Science Foundation of Fujian Province(2020J01496)

Abstract:

This paper introduces a class of upper triangular operator matrices related to Cowen-Douglas operators, and studies its similarity on Banach spaces and its unitary similarity on Hilbert spaces.

Key words: Banach spaces, Hilbert spaces, Upper triangular operator matrices, Similarity, Unitary similarity

CLC Number: 

  • O177.2
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