On discontinuity of the spectral radius in Banach algebras

Vladimír Müller

Commentationes Mathematicae Universitatis Carolinae (1977)

  • Volume: 018, Issue: 3, page 591-598
  • ISSN: 0010-2628

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Müller, Vladimír. "On discontinuity of the spectral radius in Banach algebras." Commentationes Mathematicae Universitatis Carolinae 018.3 (1977): 591-598. <http://eudml.org/doc/16855>.

@article{Müller1977,
author = {Müller, Vladimír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {591-598},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On discontinuity of the spectral radius in Banach algebras},
url = {http://eudml.org/doc/16855},
volume = {018},
year = {1977},
}

TY - JOUR
AU - Müller, Vladimír
TI - On discontinuity of the spectral radius in Banach algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1977
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 018
IS - 3
SP - 591
EP - 598
LA - eng
UR - http://eudml.org/doc/16855
ER -

References

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  1. B. AUPETIT, Caractérisation spectrale des algèbres de Banach commutatives, Pacific J. Math. 63 (1976), 23-35. (1976) Zbl0309.46045MR0415320
  2. B. AUPETIT, Propriétés spectrales des algèbres de Banach, (to appear). Zbl0409.46054MR0549769
  3. J. DUNCAN A. W. TULLO, Finite dimensionality, nilpotents and quasinilpotents in Banach algebras, Proc. Edinburgh Math. Soc. 19 (1974), 45-49. (1974) MR0344892
  4. A. O. NEMIROVSKIJ, O svjazi nekommutativnosti s naličiem obobščennych nilpotentov dlja nekotoryeh klassov banachovych algebr, Vestnik MGU, ser. mat.- mech. 6 (1971). (1971) 
  5. V. PTÁK J. ZEMÁNEK, On uniform continuity of the spectral radius in Banach algebras, Manuscripta Math. 20 (1977), 177-189. (1977) MR0442684
  6. C. E. RICKART, General theory of Banach algebras, Van Nostrand I960. Zbl0095.09702MR0115101
  7. Z. SŁODKOWSKI W. WOJTYŇSKI J. ZEMÁNEK, A note on quasinilpotent elements of a Banach algebra, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys. 25 (1977), 131-134. (1977) MR0438124
  8. E. VESENTINI, On the subharmonicity of the spectral radius, Boll. Un. Mat. Ital. 1 (1968), 427-429. (1968) MR0244766
  9. J. ZEMÁNEK, A survey of recent results on the spectral radius in Banach algebras, Proc. of the fourth Prague Symp. in General Topology and its Relations to Modern Analysis and Algebra, 1976. (1976) MR0487455
  10. J. ZEMÁNEK, Spectral radius characterizations of commutativity in Banach algebras, Studia Math. 61 (1977). (1977) MR0461139

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