# The spectral mapping theorem for the essential approximate point spectrum

Colloquium Mathematicae (1998)

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

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top## How to cite

topSchmoeger, 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

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