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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1982 Volume 118(160), Number 1(5), Pages 19–49 (Mi sm2237)

This article is cited in 37 papers

Pseudoinverse operators. Properties and applications

Yu. P. Pyt'ev


Abstract: This article studies the formalism and the problem of stability of pseudoinversion for closed densely defined operators in Hilbert spaces. The finite-dimensional version is also analyzed, because it is nontrivial and has numerous applications.
Bibliography: 11 titles.

UDC: 517.43

MSC: Primary 47A50, 60H12; Secondary 15A09, 41A50

Received: 11.06.1981


 English version:
Mathematics of the USSR-Sbornik, 1983, 46:1, 17–50

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