The spectral mapping theorem for the essential approximate point spectrum

• Autorzy: Christoph Schmoeger
• Języki publikacji: EN

Słowa kluczowe

EN

semi-Fredholm operators; essential spectrum

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 74
• Numer: 2
• Strony: 167-176

Daty

wydano

1998

otrzymano

1996-05-30

Twórcy

autor

Christoph Schmoeger

• Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany

Bibliografia

• [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, 1973.
• [2] B. Gramsch and D. Lay, Spectral mapping theorems for essential spectra, Math. Ann. 192 (1971), 17-32.
• [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.
• [5] W. Y. Lee and S. H. Lee, A spectral mapping theorem for the Weyl spectrum, Glasgow Math. J. 38 (1996), 61-64.
• [6] K. K. Oberai, Spectral mapping theorems for essential spectra, Rev. Roumaine Math. Pures Appl. 25 (1980), 365-373.
• [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.
• [9] V. Rakočević, On the essential approximate point spectrum, II, ibid. 36 (1984), 89-97.
• [10] V. Rakočević, Approximate point spectrum and commuting compact perturbations, Glasgow Math. J. 28 (1986), 193-198.
• [11] M. Schechter, On the essential spectrum of an arbitrary operator, I, J. Math. Anal. Appl. 13 (1966), 205-215.
• [12] C. Schmoeger, Ascent, descent and the Atkinson region in Banach algebras, II, Ricerche Mat. 42 (1993), 249-264.
• [13] B. Yood, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math. J. 18 (1951), 599-612.