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1997 | 123 | 1 | 1-13
Tytuł artykułu

On the semi-Browder spectrum

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An operator in a Banach space is called upper (lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (descent). We extend this notion to n-tuples of commuting operators and show that this notion defines a joint spectrum. Further we study relations between semi-Browder and (essentially) semiregular operators.
Słowa kluczowe
Czasopismo
Rocznik
Tom
123
Numer
1
Strony
1-13
Opis fizyczny
Daty
wydano
1997
otrzymano
1995-08-07
poprawiono
1996-08-09
Twórcy
  • Institute of Mathematics AV ČR, Žitná 25, 11567 Praha 1, Czech Republic
  • Department of Mathematics, Faculty of Philosophy, University of Niš, Ćirila and Metodija 2, 18000 Niš, Yugoslavia - Serbia, vrakoc@archimed.filfak.ni.ac.yu
Bibliografia
  • [1] J. J. Buoni, R. Harte and T. Wickstead, Upper and lower Fredholm spectra, Proc. Amer. Math. Soc. 66 (1977), 309-314.
  • [2] S. R. Caradus, W. E. Pfaffenberger and B. Yood, Calkin Algebras and Algebras of Operators on Banach Spaces, Marcel Dekker, 1974.
  • [3] R. E. Curto and A. T. Dash, Browder spectral systems, Proc. Amer. Math. Soc. 103 (1988), 407-413.
  • [4] S. Grabiner, Ascent, descent, and compact perturbations, ibid. 71 (1978), 79-80.
  • [5] S. Grabiner, Uniform ascent and descent of bounded operators, J. Math. Soc. Japan 34 (1982), 317-337.
  • [6] R. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, 1988.
  • [7] R. E. Harte and A. W. Wickstead, Upper and lower Fredholm spectra II, Math. Z. 154 (1977), 253-256.
  • [8] T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Anal. Math. 6 (1958), 261-322.
  • [9] V. Kordula, The essential Apostol spectrum and finite dimensional perturbations, Proc. Roy. Irish Acad., to appear.
  • [10] V. Kordula and V. Müller, The distance from the Apostol spectrum, Proc. Amer. Math. Soc., to appear.
  • [11] V. Kordula and V. Müller, On the axiomatic theory of spectrum, Studia Math. 119 (1996), 109-128.
  • [12] H. Kroh and P. Volkmann, Störungssätze für Semifredholmoperatoren, Math. Z. 148 (1976), 295-297.
  • [13] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105.
  • [14] M. Mbekhta and V. Müller, On the axiomatic theory of spectrum II, Studia Math. 119 (1996), 129-147.
  • [15] M. Mbekhta et A. Ouahab, Contribution à la théorie spectrale généralisé dans les espaces de Banach, C. R. Acad. Sci. Paris 313 (1991), 833-836.
  • [16] V. Müller, On the regular spectrum, J. Operator Theory 31 (1994), 363-380.
  • [17] M. Putinar, Functional calculus and the Gelfand transformation, Studia Math. 84 (1984), 83-86.
  • [18] V. Rakočević, Approximate point spectrum and commuting compact perturbations, Glasgow Math. J. 28 (1986), 193-198.
  • [19] V. Rakočević, Generalized spectrum and commuting compact perturbations, Proc. Edinburgh Math. Soc. 36 (1993), 197-209.
  • [20] V. Rakočević, Semi-Fredholm operators with finite ascent or descent and perturbations, Proc. Amer. Math. Soc. 123 (1995), 3823-3825.
  • [21] V. Rakočević, Semi-Browder operators and perturbations, Studia Math. 122 (1996), 131-137.
  • [22] V. Rakočević, Semi-Fredholm operators with finite ascent or descent and corresponding spectra, in: Proc. Conf. in Priština, University of Priština, 1994, 79-89.
  • [23] C. Schmoeger, Ein Spektralabbildungssatz, Arch. Math. (Basel) 55 (1990), 484-489.
  • [24] T. T. West, A Riesz-Schauder theorem for semi-Fredholm operators, Proc. Roy. Irish Acad. 87 (1987), 137-146.
  • [25] W. Żelazko, Axiomatic approach to joint spectra I, Studia Math. 64 (1979), 249-261.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-smv123i1p1bwm
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