On discontinuity of the spectral radius in Banach algebras
Müller, Vladimír
Commentationes Mathematicae Universitatis Carolinae, Tome 018 (1977), p. 591-598 / Harvested from Czech Digital Mathematics Library
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Publié le : 1977-01-01
Classification:  46H05 
@article{105803,
     author = {Vladim\'\i r M\"uller},
     title = {On discontinuity of the spectral radius in Banach algebras},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {018},
     year = {1977},
     pages = {591-598},
     zbl = {0358.46032},
     mrnumber = {0500157},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105803}
}

Müller, Vladimír. On discontinuity of the spectral radius in Banach algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 018 (1977) pp. 591-598. http://gdmltest.u-ga.fr/item/105803/

B. Aupetit Caractérisation spectrale des algèbres de Banach commutatives, Pacific J. Math. 63 (1976), 23-35. (1976) | MR 0415320 | Zbl 0309.46045

B. Aupetit Propriétés spectrales des algèbres de Banach, (to appear). | MR 0549769 | Zbl 0409.46054

J. Duncan A. W. Tullo Finite dimensionality, nilpotents and quasinilpotents in Banach algebras, Proc. Edinburgh Math. Soc. 19 (1974), 45-49. (1974) | MR 0344892

A. O. Nemirovskij O svjazi nekommutativnosti s naličiem obobščennych nilpotentov dlja nekotoryeh klassov banachovych algebr, Vestnik MGU, ser. mat.- mech. 6 (1971). (1971)

V. Pták J. Zemánek On uniform continuity of the spectral radius in Banach algebras, Manuscripta Math. 20 (1977), 177-189. (1977) | MR 0442684

C. E. Rickart General theory of Banach algebras, Van Nostrand I960. | MR 0115101 | Zbl 0095.09702

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) | MR 0438124

E. Vesentini On the subharmonicity of the spectral radius, Boll. Un. Mat. Ital. 1 (1968), 427-429. (1968) | MR 0244766

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) | MR 0487455

J. Zemánek Spectral radius characterizations of commutativity in Banach algebras, Studia Math. 61 (1977). (1977) | MR 0461139