journal6 ›› 2008, Vol. 29 ›› Issue (5): 19-22.

• Mathematics • Previous Articles     Next Articles

On the Completion Problems of  Operator Partial  Matrix


  1. (College of Mathematics and Information Science,Shaanxi Normal University,Xi'an710062,China)
  • Online:2008-09-25 Published:2012-05-20

Abstract: Let H and K be complex Hilbert spaces,and the triple (A,B,C) of operators is given,where A∈ B(H),B∈B(K),C∈ B(K,H).For operator matrix A CX B defited on H  K,the intersection of the resolvent set of MX is charecterized when X  is taken all operator in B(H,K).

Key words: operator matrix, operator completion, resolvent set, controllable operator

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