Approximate determination of spectral radius of a positive irreducible operator

Ivo Marek

Aplikace matematiky (1967)

  • Volume: 12, Issue: 5, page 351-363
  • ISSN: 0862-7940

Abstract

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Beiderseitige Schranken für den Spektralradius einer spaziellen Klasse von Abbildungen die einen Kegel der nichtnegativen Elemente eines Banachraumes reproduzieren, sind angeben. Mit Hilfe des verallgemeinerten Minimaxprinzips wird einerseits der Collatz'sche Quotientensatz und andererseits das Prinzip von Yamamoto verallgemeinert.

How to cite

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Marek, Ivo. "Přibližné stanovení spektrálního poloměru kladného nerozložitelného zobrazení." Aplikace matematiky 12.5 (1967): 351-363. <http://eudml.org/doc/14492>.

@article{Marek1967,
author = {Marek, Ivo},
journal = {Aplikace matematiky},
keywords = {functional analysis},
language = {cze},
number = {5},
pages = {351-363},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Přibližné stanovení spektrálního poloměru kladného nerozložitelného zobrazení},
url = {http://eudml.org/doc/14492},
volume = {12},
year = {1967},
}

TY - JOUR
AU - Marek, Ivo
TI - Přibližné stanovení spektrálního poloměru kladného nerozložitelného zobrazení
JO - Aplikace matematiky
PY - 1967
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 5
SP - 351
EP - 363
LA - cze
KW - functional analysis
UR - http://eudml.org/doc/14492
ER -

References

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  12. I. Marek, Spektraleigenschaften der χ -positiven Operatoren und Einschliessungssätze für den Spektralradius, Czech. Math. Journ. 16(1966), 493-517. (1966) MR0217622
  13. I. Marek, u 0 -positive operators and some of their applications, Journ. Soc. Industr. Appl. Math. 15 (1967), No. 3, 384-394. (1967) MR0233176
  14. F. Niiro I. Sawashima, On the spectral properties of positive irreducible operators in an arbitrary Banach lattice and problem of H. H. Schaefer, Sci. Pap. Coll. Gen. Education, Univ. of Tokyo, 16 (1966), 145-183. (1966) MR0205084
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