An estimate of eigenvalues of an integral operators with stochastic kerns

Adolf Rhodius

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 1, page 183-193
  • ISSN: 0010-2628

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Rhodius, Adolf. "Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen." Commentationes Mathematicae Universitatis Carolinae 018.1 (1977): 183-193. <http://eudml.org/doc/16816>.

@article{Rhodius1977,
author = {Rhodius, Adolf},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {ger},
number = {1},
pages = {183-193},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen},
url = {http://eudml.org/doc/16816},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Rhodius, Adolf
TI - Eine Eigenwertabschätzung für Integraloperatoren mit stochastischen Kernen
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 1
SP - 183
EP - 193
LA - ger
UR - http://eudml.org/doc/16816
ER -

References

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  1. P. M. ANSELONE, Collectively Compact Operator Approximation Theory, Prentice-Hall, Englewood Cliffs, New Jersey (1971). (1971) Zbl0228.47001MR0443383
  2. P. M. ANSELONE J. W. LEE, Spectral properties of integral operators with nonnegative kernels, Linear Algebra and its Appl. 9, 67-87 (1974). (1974) MR0361905
  3. F. L. BAUER, An elementary proof of the Hopf inequality, Num. Math. 7, 331-337 (1965). (1965) Zbl0148.38103MR0188785
  4. F. L. BAUER E. DEZTSCH J. STOER, Abschätzungen für Eigenwerte positiver linearer Operatoren, Linear Algebra and its Appl. 2, 275-301 (1969). (1969) MR0245587
  5. G. BIRKHOFF, Extensions of Jentzsch's theorem, Trans. Amer. Math. Soc. 85, 219-227 (1957). (1957) Zbl0079.13502MR0087058
  6. E. DEUTSCH, Ch. ZENGER, Inclusion domains for the eigenvalues of stochastic matrices, Numer. Math. 18, 182-192 (1971). (192) MR0301908
  7. G. FROBENIUS, Über Matrizen aus positiven Elementen, Akad. Wiss. Berlin, 471-476 (1908). (1908) 
  8. G. FROBENIUS, Über Matrizen aus nicht negativen Elementen, Akad. Wiss. Berlin, 456-477 (1912). (1912) 
  9. E. HOPF, An inequality for positive linear integral operators, J. of Math, and Mech. 12, 683-692 (1963). (1963) Zbl0115.32501MR0165325
  10. R. JENTZSCH, Über Integralgleichungen mit positlvem Kern, Crelles Journal 141, 235-244 (1912). (1912) 
  11. I. MAREK, Spektrale Eigenschaften der K -positiven Operatoren und Einschliessungssätze für den Spektralradius, Czechosl. math. J. 16 (91), 493-517 (1966). (1966) Zbl0152.33701MR0217622
  12. A. OSTROWSKI, Positive matrices and functional analysis, in Recent Advances in Matrix Theory, Univ. of Wisconsin Press, Madison 81-101 (1964). (1964) Zbl0135.01504MR0169858
  13. O. PERRON, Zur Theorie der Matrizen, Math. Ann. 64, 248-263 (1908). (1908) 

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