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Article

Title: A note on joint capacities in Banach algebras (English)
Author: Müller, Vladimír
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 43
Issue: 2
Year: 1993
Pages: 367-372
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Category: math
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MSC: 46H05
MSC: 47A13
idZBL: Zbl 0808.46063
idMR: MR1211758
DOI: 10.21136/CMJ.1993.128409
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Date available: 2009-09-24T09:31:04Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/128409
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Reference: [1] P.R. Halmos: Capacity in Banach algebras.Indiana Univ. Math. J. 20 (1971), 855–863. Zbl 0196.14803, MR 0268672, 10.1512/iumj.1971.20.20067
Reference: [2] R. Harte: Tensor products, multiplication operators and the spectral mapping theorem.Proc. Roy. Irish Acad. Sect. A 73 (1973), 285–302. Zbl 0265.47034, MR 0328642
Reference: [3] R. Levi: Notes on the Taylor joint spectrum of commuting operators.Spectral Theory, Banach Center Publications Vol. 8, 1982, pp. 321–332. Zbl 0496.47017, MR 0738292
Reference: [4] J. Siciak: Extremal plurisubharmonic functions and capacities in ${C}^n$.Sophia Kokyuroku in Mathematics 14 (1982).
Reference: [5] A. Sołtysiak: Capacity of finite systems of elements in Banach algebras.Comm. Math. 19 yr1977, 405–411. MR 0477779
Reference: [6] A. Sołtysiak: Some remarks on the joint capacities in Banach algebras.Comm. Math. 20 (1977), 197–204. MR 0463939
Reference: [7] A. Sołtysiak: On a certain class of subspectra.Comm. Math. Univ. Carolinae (to appear).
Reference: [8] D.S.G. Stirling: Perturbations of operators which leave capacity invariant.J. London Math. Soc. 10 (1975), 75–78. Zbl 0297.47001, MR 0367697, 10.1112/jlms/s2-10.1.75
Reference: [9] D.S.G. Stirling: The joint capacity of elements of Banach algebras.J. London Math. Soc. 10 (1975), 212–218. Zbl 0302.46035, MR 0370195, 10.1112/jlms/s2-10.2.212
Reference: [10] V.P. Zakharyuta: Transfinite diameter, Tshebyshev constant and a capacity of a compact set in ${C}^n$.Mat. Sb. 96 (1975), 374–389. (Russian)
Reference: [11] W. .Zelazko: Axiomatic approach to joint spectra I..Studia Math. 64 (1979), 249–261. Zbl 0426.47002, MR 0544729, 10.4064/sm-64-3-249-261
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