The spectral mapping theorem for the essential approximate point spectrum

Christoph Schmoeger

Colloquium Mathematicae (1998)

  • Volume: 74, Issue: 2, page 167-176
  • ISSN: 0010-1354

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Schmoeger, Christoph. "The spectral mapping theorem for the essential approximate point spectrum." Colloquium Mathematicae 74.2 (1998): 167-176. <http://eudml.org/doc/210507>.

@article{Schmoeger1998,
author = {Schmoeger, Christoph},
journal = {Colloquium Mathematicae},
keywords = {semi-Fredholm operators; essential spectrum; spectral mapping theorem; essential approximate point spectrum},
language = {eng},
number = {2},
pages = {167-176},
title = {The spectral mapping theorem for the essential approximate point spectrum},
url = {http://eudml.org/doc/210507},
volume = {74},
year = {1998},
}

TY - JOUR
AU - Schmoeger, Christoph
TI - The spectral mapping theorem for the essential approximate point spectrum
JO - Colloquium Mathematicae
PY - 1998
VL - 74
IS - 2
SP - 167
EP - 176
LA - eng
KW - semi-Fredholm operators; essential spectrum; spectral mapping theorem; essential approximate point spectrum
UR - http://eudml.org/doc/210507
ER -

References

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  1. [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973. Zbl0271.46039
  2. [2] B. Gramsch and D. Lay, Spectral mapping theorems for essential spectra, Math. Ann. 192 (1971), 17-32. Zbl0203.45601
  3. [3] H. Heuser, Funktionalanalysis, 3rd ed., Teubner, 1992. 
  4. [4] T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Anal. Math. 6 (1958), 261-322. Zbl0090.09003
  5. [5] W. Y. Lee and S. H. Lee, A spectral mapping theorem for the Weyl spectrum, Glasgow Math. J. 38 (1996), 61-64. Zbl0869.47017
  6. [6] K. K. Oberai, Spectral mapping theorems for essential spectra, Rev. Roumaine Math. Pures Appl. 25 (1980), 365-373. Zbl0439.47008
  7. [7] C. Pearcy, Some Recent Developments in Operator Theory, CBMS Regional Conf. Ser. in Math. 36, Amer. Math. Soc., Providence, 1978. 
  8. [8] V. Rakočević, On one subset of M. Schechter's essential spectrum, Mat. Vesnik 5 (1981), 389-391. Zbl0504.47004
  9. [9] V. Rakočević, On the essential approximate point spectrum, II, ibid. 36 (1984), 89-97. Zbl0535.47002
  10. [10] V. Rakočević, Approximate point spectrum and commuting compact perturbations, Glasgow Math. J. 28 (1986), 193-198. Zbl0602.47003
  11. [11] M. Schechter, On the essential spectrum of an arbitrary operator, I, J. Math. Anal. Appl. 13 (1966), 205-215. Zbl0147.12101
  12. [12] C. Schmoeger, Ascent, descent and the Atkinson region in Banach algebras, II, Ricerche Mat. 42 (1993), 249-264. Zbl0807.46054
  13. [13] B. Yood, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math. J. 18 (1951), 599-612. Zbl0043.11901

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