Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
@article{RLINA_1975_8_58_2_a9, author = {Lardy, Lawrence J.}, title = {A series representation for the generalized inverse of a closed linear operator}, journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali}, pages = {152--157}, publisher = {mathdoc}, volume = {Ser. 8, 58}, number = {2}, year = {1975}, zbl = {0326.47014}, mrnumber = {0473881}, language = {en}, url = {http://geodesic.mathdoc.fr/item/RLINA_1975_8_58_2_a9/} }
TY - JOUR AU - Lardy, Lawrence J. TI - A series representation for the generalized inverse of a closed linear operator JO - Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali PY - 1975 SP - 152 EP - 157 VL - 58 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLINA_1975_8_58_2_a9/ LA - en ID - RLINA_1975_8_58_2_a9 ER -
%0 Journal Article %A Lardy, Lawrence J. %T A series representation for the generalized inverse of a closed linear operator %J Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali %D 1975 %P 152-157 %V 58 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/RLINA_1975_8_58_2_a9/ %G en %F RLINA_1975_8_58_2_a9
Lardy, Lawrence J. A series representation for the generalized inverse of a closed linear operator. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 58 (1975) no. 2, pp. 152-157. http://geodesic.mathdoc.fr/item/RLINA_1975_8_58_2_a9/
[1] Sur l'inverse généralisée d'un opérateur linéaire dans les espaces de Hilbert, «Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», Ser. VIII, 45, 471-477. | MR | Zbl
(1968) -[2] Remarques sur quelques théorems relatives l'inverse généralisée d'un opérateur linéaire dans les espaces de Hilbert, «Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», Ser. VIII, 46, 333-338. | MR | Zbl
and (1969) -[3] Contributions to the theory of generalized inverses, «SIAM J. Appl. Math.», 11, 667-699. | MR | Zbl
and (1963) -[4] Unbounded Linear Operators, McGraw-Hill, New York. | MR | Zbl
(1966) -[5] Relative self-adjoint operators in Hilbert spaces, «Pacific J. Math.», 11, 1315-1357. | MR | Zbl
(1961) -[6] Steepest descent for singular linear operators with nonclosed range, «Applicable Analysis», 1, 143-159. | DOI | MR | Zbl
and (1971) -[7] Generalized inverses, normal solvability, and iteration for singular operator equations, in Nonlinear Functional Analysis and Applications, Edited by Louis B. Rail, Academic Press, New York. | MR | Zbl
(1971) -[8] On generalized inverses and uniform convergence of $(I-\beta K)^{n}$ with applications to iterative methods, «J. Math. Anal. Appl.», 18, 417-439. | DOI | MR | Zbl
(1967) -[9] Functional Analysis, Frederick Ungar, New York. | MR
and (1955) -[10] Representation and computation of the pseudoinverse, «Proc. Amer. Soc.», 18, 584-586. | DOI | MR | Zbl
(1967) -[11] Representation and computation of the generalized inverse of a bounded linear operator between Hilbert spaces, «Atti Acad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 48, 184-193. | MR | Zbl
and (1970) -[12] Sur les solutions des equations opératrices fonctionnelles entre les espaces unitaires. Solutions extremales. Solutions virtuelles, «C.R. Acad. Sci. Paris», 228, 640-641. | MR | Zbl
(1949) -[13] Generalized inverses of unbounded operators between two unitary spaces, «Dokl. Akad. Nauk SSSR (N.S.)», 67, 431-434. | MR
(1949) -[14] Properties and classification of generalized inverses of closed operators, «Dokl. Akad. Nauk. SSSR (N.S.)», 67, 607-610. | MR
(1949) -[15] Virtual solutions and generalized inverse, «Uspehi Math. Nauk. (N.S.)», 11, 213-215. | MR
(1956) -[16] Green's operators, «Ann. Mat. Pura Appl.», 66, 251-264. | DOI | MR | Zbl
(1964) -