Geodesic
On discontinuity of the spectral radius in Banach algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 3, pp. 591-598 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 46H05 
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     author = {M\"uller, Vladim{\'\i}r},
     title = {On discontinuity of the spectral radius in {Banach} algebras},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1977_18_3_a16/}
}
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Müller, Vladimír. On discontinuity of the spectral radius in Banach algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 18 (1977) no. 3, pp. 591-598. http://geodesic.mathdoc.fr/item/CMUC_1977_18_3_a16/

[1] B. AUPETIT: Caractérisation spectrale des algèbres de Banach commutatives. Pacific J. Math. 63 (1976), 23-35. | MR | Zbl

[2] B. AUPETIT: Propriétés spectrales des algèbres de Banach. (to appear). | MR | Zbl

[3] J. DUNCAN A. W. TULLO: Finite dimensionality, nilpotents and quasinilpotents in Banach algebras. Proc. Edinburgh Math. Soc. 19 (1974), 45-49. | MR

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

[5] V. PTÁK J. ZEMÁNEK: On uniform continuity of the spectral radius in Banach algebras. Manuscripta Math. 20 (1977), 177-189. | MR

[6] C. E. RICKART: General theory of Banach algebras. Van Nostrand I960. | MR | Zbl

[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. | MR

[8] E. VESENTINI: On the subharmonicity of the spectral radius. Boll. Un. Mat. Ital. 1 (1968), 427-429. | MR

[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. | MR

[10] J. ZEMÁNEK: Spectral radius characterizations of commutativity in Banach algebras. Studia Math. 61 (1977). | MR