Groetsch's representation of Moore-Penrose inverses and ill-posed problems in Hilbert C*-modules

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Sharifi, K.

关键词: Moore-Penrose inverse;    Hilbert C*-module;    Unbounded operator;    III-posed problems;   

DOI  :  10.1016/j.jmaa.2009.11.033

来源: Elsevier

【 摘 要 】

The explicit representation lim(omega -> 0)+(omega 1 + T*T)(-1)T* for the Moore-Penrose inverse of an operator T between Hilbert spaces has been given by C.W. Groetsch (1975)[6]. We obtain his formula for the Moore-Penrose inverse of an unbounded operator between Hilbert C*-modules. III-posed problems with unbounded operator between Hilbert C*-modules are also discussed. (C) 2009 Elsevier Inc. All rights reserved.

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