Local behaviour of operators

Vladimír Müller

Banach Center Publications (1994)

  • Volume: 30, Issue: 1, page 251-258
  • ISSN: 0137-6934

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Müller, Vladimír. "Local behaviour of operators." Banach Center Publications 30.1 (1994): 251-258. <http://eudml.org/doc/262680>.

@article{Müller1994,
author = {Müller, Vladimír},
journal = {Banach Center Publications},
keywords = {operator polynomials; local spectral radius; local capacity; invariant subspace problem},
language = {eng},
number = {1},
pages = {251-258},
title = {Local behaviour of operators},
url = {http://eudml.org/doc/262680},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Müller, Vladimír
TI - Local behaviour of operators
JO - Banach Center Publications
PY - 1994
VL - 30
IS - 1
SP - 251
EP - 258
LA - eng
KW - operator polynomials; local spectral radius; local capacity; invariant subspace problem
UR - http://eudml.org/doc/262680
ER -

References

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  1. [1] C. Apostol, On the left essential spectrum and non-cyclic operators in Banach spaces, Rev. Roumaine Math. Pures Appl. 17 (1972), 1141-1147. Zbl0246.47007
  2. [2] B. Beauzamy, Introduction to Operator Theory and Invariant Subspaces, North-Holland Math. Library 42, North-Holland, Amsterdam, 1988. 
  3. [3] J. J. Buoni, R. Harte and T. Wickstead, Upper and lower Fredholm spectra, Proc. Amer. Math. Soc. 66 (1977), 309-314. Zbl0375.47001
  4. [4] M. Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koefficienten, Math. Z. 17 (1923), 228-249. 
  5. [5] P. R. Halmos, Capacity in Banach algebras, Indiana Univ. Math. J. 20 (1971), 855-863. Zbl0196.14803
  6. [6] R. Harte, Tensor products, multiplication operators and the spectral mapping theorem, Proc. Roy. Irish Acad. Sect. A 73 (1973), 285-302. Zbl0265.47034
  7. [7] R. Harte and T. Wickstead, Upper and lower Fredholm spectra II, Math. Z. 154 (1977), 253-256. Zbl0393.47001
  8. [8] V. Müller, On quasialgebraic operators in Banach spaces, J. Operator Theory 17 (1987), 291-300. Zbl0618.47001
  9. [9] V. Müller, Local spectral radius formula for operators in Banach spaces, Czechoslovak Math. J. 38 (1988), 726-729. Zbl0707.47005
  10. [10] V. Müller, Local behaviour of the polynomial calculus of operators, J. Reine Angew. Math. 430 (1992), 61-68. Zbl0749.47002
  11. [11] V. Müller, On the essential approximate point spectrum of operators, Integral Equations Operator Theory 15 (1992), 1033-1041. Zbl0781.47021
  12. [12] V. Müller, A note on joint capacities in Banach algebras, Czechoslovak Math. J. 43 (1993), 367-382. 
  13. [13] V. Müller, On the joint essential spectrum of commuting operators, Acta Sci. Math. (Szeged) 57 (1993), 199-205. Zbl0828.47003
  14. [14] V. Müller and A. Sołtysiak, On local joint capacities of operators, Czechoslovak Math. J. 43 (1993), 743-751. Zbl0804.47006
  15. [15] S. Rolewicz, On orbits of elements, Studia Math. 32 (1969), 17-22. Zbl0174.44203
  16. [16] D. S. G. Stirling, The joint capacity of elements of Banach algebras, J. London Math. Soc. 10 (1975), 374-389. Zbl0302.46035
  17. [17] P. Vrbová, On local spectral properties of operators in Banach spaces, Czechoslovak Math. J. 23 (1973), 483-492. Zbl0268.47006
  18. [18] V. P. Zakharyuta, Transfinite diameter, Chebyshev constant and a capacity of a compact set in ℂ n , Mat. Sb. 96 (1975), 374-389 (in Russian). Zbl0324.32009

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