Equivalence of -irreducibility concepts

Ivo Marek; Karel Žitný

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 1, page 61-72
  • ISSN: 0010-2628

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Marek, Ivo, and Žitný, Karel. "Equivalence of $K$-irreducibility concepts." Commentationes Mathematicae Universitatis Carolinae 025.1 (1984): 61-72. <http://eudml.org/doc/17298>.

@article{Marek1984,
author = {Marek, Ivo, Žitný, Karel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {normal generating cone; equivalence of various concepts of irreducibility of positive operators in partially ordered Banach spaces},
language = {eng},
number = {1},
pages = {61-72},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Equivalence of $K$-irreducibility concepts},
url = {http://eudml.org/doc/17298},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Marek, Ivo
AU - Žitný, Karel
TI - Equivalence of $K$-irreducibility concepts
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 1
SP - 61
EP - 72
LA - eng
KW - normal generating cone; equivalence of various concepts of irreducibility of positive operators in partially ordered Banach spaces
UR - http://eudml.org/doc/17298
ER -

References

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  9. SCHAFFER H. H., Spectral properties of positive linear transformations, Pacif. J. Math. 10 (1960), 1009-1019. (1960) MR0115090
  10. SCHNEIDER H., The concepts of irreducibility and full indecomposabillty of a matrix in the works of Frobenius, König and Markov, Lin. Algebra and Its Applications 18 (1977), 139-162. (1977) MR0446850
  11. STECENKO V. Ya., Criteria of irreducibility of linear operators, Uspekhi Mat. Nauk XXI, Nr. 5 (131) (1966), 265-266 (Russian). (1966) MR0201977
  12. VANDERGRAFT J. S., Spectral properties of matrices which have invariant cones, SIAM J. Appl. Math. 16 (1968), 1208-1222. (1968) Zbl0186.05701MR0244284
  13. VARGA R. S., Matrix Iterative Analysis, Prentice Hall Inc. Englewood Cliffs, New Jersey, 1962. (1962) MR0158502

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