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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
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Category: math
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MSC: 47-90
MSC: 65-00
MSC: 65Jxx
idZBL: Zbl 0169.17201
idMR: MR0232263
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Date available: 2008-06-05T20:24:08Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105090
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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
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