Inclusions and Identities for the Moore‐Penrose Inverse of a Closed Linear Operator | Zendy

Groetsch C. W. | Zendy

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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.

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