Title:
|
An infinite dimensional analogue of R. S. Varga's lemma (English) |
Author:
|
Marek, Ivo |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
8 |
Issue:
|
1 |
Year:
|
1967 |
Pages:
|
27-38 |
. |
Category:
|
math |
. |
MSC:
|
47-90 |
MSC:
|
65-00 |
MSC:
|
65Jxx |
idZBL:
|
Zbl 0169.17201 |
idMR:
|
MR0232263 |
. |
Date available:
|
2008-06-05T20:24:08Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105090 |
. |
Reference:
|
[1] A. S. HOUSEHOLDER: The theory of matrices in numerical analysis.Blaisdell Publ. New York 1964. Zbl 0161.12101, MR 0175290 |
Reference:
|
[2] M. G. KREJN M. A. RUTMAN: Linejnyje operatory ostavljajuščije invariantnym konus v prostranstve Banacha.Usp. mat. nauk III (1948), No 1, 3-95. MR 0027128 |
Reference:
|
[3] I. MAREK: Iterations of linear bounded operators and Kellogg's iterations in non self-adjoint eigenvalue problems.Czech. Math. Journ. 12 (1962), 536-554. MR 0149297 |
Reference:
|
[4] I. MAREK: Spektrale Eigenschaften der $K$-positiven Operatoren und Einschliessungssätze für den Spektralradius.Czech. Math. Journ. 16 (1966), 493-517. Zbl 0152.33701, MR 0217622 |
Reference:
|
[5] I. SAWASHIMA: On spectral properties of some positive operators.Nat. Sci. Report Ochanomizu Univ. 15 (1964), 53-64. Zbl 0138.07801, MR 0187096 |
Reference:
|
[6] A. E. TAYLOR: Introduction to functional analysis.J. Wiley Publ. New York 1958. Zbl 0081.10202, MR 0098966 |
Reference:
|
[7] R. S. VARGA: Matrix iterative analysis.Prentice-Hall Inc. New Jersey 1962. MR 0158502 |
. |