JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 50-55.doi: 10.6040/j.issn.1671-9352.0.2014.158

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Some properties of primitive ideal submodules in Hilbert C*-modules

YANG Gong-lin, JI Pei-sheng   

  1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2014-04-14 Online:2014-10-20 Published:2014-11-10

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Abstract: The definition of the primitive ideal submodules in Hilbert C*-modules is given. Some properties of primitive ideal submodule space and the spectrum space in Hilbert C*-modules are studied. It is shown that these results extend and improve the existing results.

Key words: spectrum space, primitive ideal submodule, Hilbert C*-modules

CLC Number: 

  • O177.1
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