Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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SKEW COMPLEX SYMMETRIC OPERATORS AND WEYL TYPE THEOREMS

  • KO, EUNGIL (DEPARTMENT OF MATHEMATICS EWHA WOMANS UNIVERSITY) ;
  • KO, EUNJEONG (DEPARTMENT OF MATHEMATICS EWHA WOMANS UNIVERSITY) ;
  • LEE, JI EUN (DEPARTMENT OF MATHEMATICS-APPLIED STATISTICS SEJONG UNIVERSITY)
  • Received : 2014.08.29
  • Published : 2015.07.31
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Abstract

An operator $T{{\in}}{\mathcal{L}}({\mathcal{H}})$ is said to be skew complex symmetric if there exists a conjugation C on ${\mathcal{H}}$ such that $T=-CT^*C$. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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