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ArticleOriginal scientific text

Title

Local behaviour of operators

Authors 1

Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Czech Republic, Žitná 25, 115 67 Praha 1, Czech Republic

Bibliography

  1. C. Apostol, On the left essential spectrum and non-cyclic operators in Banach spaces, Rev. Roumaine Math. Pures Appl. 17 (1972), 1141-1147.
  2. B. Beauzamy, Introduction to Operator Theory and Invariant Subspaces, North-Holland Math. Library 42, North-Holland, Amsterdam, 1988.
  3. J. J. Buoni, R. Harte and T. Wickstead, Upper and lower Fredholm spectra, Proc. Amer. Math. Soc. 66 (1977), 309-314.
  4. M. Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koefficienten, Math. Z. 17 (1923), 228-249.
  5. P. R. Halmos, Capacity in Banach algebras, Indiana Univ. Math. J. 20 (1971), 855-863.
  6. R. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 73 (1973), 285-302.
  7. R. Harte and T. Wickstead, Upper and lower Fredholm spectra II, Math. Z. 154 (1977), 253-256.
  8. V. Müller, On quasialgebraic operators in Banach spaces, J. Operator Theory 17 (1987), 291-300.
  9. V. Müller, Local spectral radius formula for operators in Banach spaces, Czechoslovak Math. J. 38 (1988), 726-729.
  10. V. Müller, Local behaviour of the polynomial calculus of operators, J. Reine Angew. Math. 430 (1992), 61-68.
  11. V. Müller, On the essential approximate point spectrum of operators, Integral Equations Operator Theory 15 (1992), 1033-1041.
  12. V. Müller, A note on joint capacities in Banach algebras, Czechoslovak Math. J. 43 (1993), 367-382.
  13. V. Müller, On the joint essential spectrum of commuting operators, Acta Sci. Math. (Szeged) 57 (1993), 199-205.
  14. V. Müller and A. Sołtysiak, On local joint capacities of operators, Czechoslovak Math. J. 43 (1993), 743-751.
  15. S. Rolewicz, On orbits of elements, Studia Math. 32 (1969), 17-22.
  16. D. S. G. Stirling, The joint capacity of elements of Banach algebras, J. London Math. Soc. 10 (1975), 374-389.
  17. P. Vrbová, On local spectral properties of operators in Banach spaces, Czechoslovak Math. J. 23 (1973), 483-492.
  18. V. P. Zakharyuta, Transfinite diameter, Chebyshev constant and a capacity of a compact set in ℂn, Mat. Sb. 96 (1975), 374-389 (in Russian).
Banach Center Publications
1994/30/1
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Pages:
251-258
Main language of publication
English
Published
1994
Exact and natural sciences