• Title/Summary/Keyword: intertwining relation

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COMPACT INTERTWINING RELATIONS FOR COMPOSITION OPERATORS BETWEEN THE WEIGHTED BERGMAN SPACES AND THE WEIGHTED BLOCH SPACES

  • Tong, Ce-Zhong;Zhou, Ze-Hua
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.125-135
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    • 2014
  • We study the compact intertwining relations for composition operators, whose intertwining operators are Volterra type operators from the weighted Bergman spaces to the weighted Bloch spaces in the unit disk. As consequences, we find a new connection between the weighted Bergman spaces and little weighted Bloch spaces through this relations.

SOME LOCAL SPECTRAL PROPERTIES OF T AND S WITH AT - SA = 0

  • Yoo, Jong-Kwang;Han, Hyuk
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1263-1272
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    • 2008
  • Let T and S be bounded linear operators on Banach spaces X and y, respectively. A linear map A : X ${\rightarrow}$ y is said to be an intertwiner if AT - SA = 0. In this paper we study the relation between local spectral properties of T and S on the assumption of AT - SA = 0. We give some example of intertwiner with T and S.

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