Iterative solution of linear operator equations in Banach spaces
- Volume: 54, Issue: 4, page 551-554
- ISSN: 0392-7881
Access Full Article
top
Abstract
topHow to cite
topReich, Simeon. "Iterative solution of linear operator equations in Banach spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54.4 (1973): 551-554. <http://eudml.org/doc/293873>.
@article{Reich1973,
author = {Reich, Simeon},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {551-554},
publisher = {Accademia Nazionale dei Lincei},
title = {Iterative solution of linear operator equations in Banach spaces},
url = {http://eudml.org/doc/293873},
volume = {54},
year = {1973},
}
TY - JOUR
AU - Reich, Simeon
TI - Iterative solution of linear operator equations in Banach spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1973/4//
PB - Accademia Nazionale dei Lincei
VL - 54
IS - 4
SP - 551
EP - 554
LA - eng
UR - http://eudml.org/doc/293873
ER -
References
top- BROWDER, F. E. and PETRYSHYN, W. V., The solution by iteration of linear functional equations in Banach sfaces, «Bull. Amer. Math. Soc.», 72, 566-570 (1966). Zbl0138.08201MR190744DOI10.1090/S0002-9904-1966-11543-4
- DE FIGUEIREDO, D. G. and KARLOVITZ, L. A., On the approximate solution of linear functional equations in Banach spaces, «J. Math. Anal. Appl.», 24, 654-664 (1968). Zbl0188.45801MR238139DOI10.1016/0022-247X(68)90018-8
- DOTSON, W. G. Jr., An application of ergodic theory to the solution of linear functional equations in Banach spaces, «Bull. Amer. Math. Soc.», 75, 347-352 (1969). Zbl0187.07102MR239438DOI10.1090/S0002-9904-1969-12166-X
- DOTSON, W. G. Jr., On the Mann iterative process, «Trans. Amer. Math. Soc.», 149, 65-73 (1970). MR257828DOI10.2307/1995659
- DOTSON, W. G. Jr., On the solution of linear functional equations by averaging iteration, «Proc. Amer. Math. Soc.», 25, 504-506 (1970). Zbl0202.15001MR259700DOI10.2307/2036630
- DOTSON, W. G. Jr., Mean ergodic theorems and iterative solution of linear functional equations, «J. Math. Anal. Appl.», 34, 141-150 (1971). Zbl0233.47010MR301529DOI10.1016/0022-247X(71)90164-8
- EBERLEIN, W. F., Abstract ergodic theorems and weak almost periodic functions, «Trans. Amer. Math. Soc.», 67, 217-240 (1949). Zbl0034.06404MR36455DOI10.2307/1990424
- GROETSCH, C. W., Ergodic theory and iterative solution of linear operator equations, to appear. Zbl0256.47008MR438158DOI10.1080/00036817608839134
- HARDY, G. H., Divergent Series, Oxford1949. MR30620
- JAKIMOVSKI, A., A generalization of the Lototsky method of summability, «Michigan Math. J.», 6, 277-290 (1959). Zbl0192.15402MR130500
- LEVIATAN, D. and RAMANUJAN, M. S., A generalization of the mean ergodic theorem, «Studia Math.», 39, 113-117 (1971). Zbl0212.08402MR303327DOI10.4064/sm-39-2-113-117
- LORENTZ, G. G., Direct theorems on methods of summability, «Canad. J. Math.», 1, 305-319 (1949). Zbl0034.03403MR32023DOI10.4153/cjm-1949-028-6
- OUTLAW, C. and GROETSCH, C. W., Averaging iteration in a Banach space, «Bull. Amer. Math. Soc.», 75, 430-432 (1969). Zbl0199.44903MR239478DOI10.1090/S0002-9904-1969-12207-X
- ZELLER, K., Verallgemeinerte Matrixtransformationen, «Math. Z.», 56, 18-20 (1952). MR49341DOI10.1007/BF01215033
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.