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The product of operators with closed range. (English) Zbl 0269.47002

MSC:
47A10 Spectrum, resolvent
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
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[1] F. J. BEUTLER, The operator theory of the pseudo-inverse, I, J. Math. Anal. Appl., 10 (1965), 451-470. · Zbl 0151.19205
[2] F. J. BEUTLER, The operator theory of the pseudo-inverse, II, J. Math. Anal. Appl. 1 (1965), 471-493. · Zbl 0151.19205
[3] M. J. DIXMIER, Etude sur les varietes et les operaterus de Julia, avec quelques appli cations, Bull. Soc. Math. France 77 (1949), 11-101. · Zbl 0045.39102
[4] R. G. DOUGLAS, On majorization, factorization, and range inclusion of operators on Huber space, Proc. A. M. S. 17 (1966), 413-415. JSTOR: · Zbl 0146.12503
[5] I. C. GOHBERG AND M. G. KREIN, The basic propositions on defect numbers, root numbers, and indices of linear operators, A. M. S. Translations 13 (1960), 185-264. · Zbl 0089.32201
[6] S. GOLDBERG, Unbounded Operators, Theory and Applications, McGraw-Hill Book Co., New York, 1966. · Zbl 0925.47001
[7] T. N. E. GREVILLE, The pseudo-inverse of a rectangular or singular matrix and its ap plication to the solution of systems of linear equations, Soc. Ind. Appl. Math., 1, (1959) 38-43. · Zbl 0123.11202
[8] T. N. E. GREVILLE, Some applications of the pseudo-inverse of a matrix, Soc. Ind. Appl Math., 2 (1960), 15-22. JSTOR: · Zbl 0168.13303
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