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Inclusions and Identities for the Moore‐Penrose Inverse of a Closed Linear Operator
Author(s) -
Groetsch C. W.
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951710110
Subject(s) - mathematics , inverse , operator (biology) , bounded operator , bounded function , moore–penrose pseudoinverse , linear map , linear operators , finite rank operator , pure mathematics , mathematical analysis , geometry , banach space , biochemistry , chemistry , repressor , transcription factor , gene
A number of operator inclusions, and identities, involving the Moore‐Penrose inverse of a closed densely defined linear operator, are presented. Some of these inclusions generalize known identities in the case when the operator is bounded and has closed range. An application to a known compactness criterion for the Moore‐Penrose inverse is also given.