On Browder-type Theorems
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Abstract
The aim of this paper is to introduce new spectral properties as a continuation of the papers [8, 9, 11, 16] which are variants to the classical a-Browder's and Browder's theorem and we study the relationship between these properties and other Weyl-type theorems.
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How to Cite
Zariouh, H., & Lombarkia, F.
(2014).
On Browder-type Theorems.
Acta Mathematica Universitatis Comenianae, 83(2), 281-289.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/14/85
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References
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[2] Aiena, Weyl type theorems for polaroid operators, Extracta Math. 23, No. 2, 103–118 (2008).
[3] M. Amouch, H. Zguitti, On the equivalence of Browder's and generalized Browder's theorem,
Glasgow Math. J. 48 (2006), 179–185.
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no. 2, p. 244–249.
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Math. Soc 130 (2002), 1717–1723.
[6] M. Berkani, J. J. Koliha, Weyl type theorems for bounded linear operators, Acta Sci. Math.
(Szeged) 69 (2003), 359–376.
[7] M. Berkani, M. Sarih, On semi B-Fredholm operators, Glasgow Math. J. 43 (2001), 457–465.
[8] M. Berkani, H. Zariouh, Extended Weyl type theorems, Math. Bohemica Vol. 134, No. 4, pp.
369–378, (2009).
[9] M. Berkani, H. Zariouh, New extended Weyl type theorems, Math. Vesnik. 62, No. 2, pp.
145–154, (2010).
[10] M. Berkani, M. Kachad, H. Zariouh, H. Zguitti, Variations on a-Browder-type theorems, to
appear in Srajevo Journal of Mathematics.
[11] Chenhui Sun, Xiaohong Cao, Lei Dai, Property (w1) and Weyl type theorem, J. Math. Anal.
Appl. 363 (2010) 1–6.
[12] S. V. Djordjevi´c and Y. M. Han, Browder's theorems and spectral continuity , Glasgow Math.
J. 42 (2000), 479–486.
[13] Il Ju An, Young Min Han, New Extended Weyl Type Theorems and Polaroid Operators,
Filomat 27:6 (2013), 1061–1073.
[14] H. Heuser, Functional Analysis, John Wiley & Sons Inc, New York, (1982).
[15] F. Lombarkia, H. Zariouh, Operators possessing properties (gb) and (gw), Bull. Math. Anal.
Appl. 4 (2012), 17–28.
[16] H. Zariouh, Property (gz) for bounded linear operators, Math. Vesnik. 65 (2013), 94–103.
[17] H. Zariouh and Zguitti, Variations on Browder's Theorem, Acta Math. Univ. Comenianae Vol
81, 2 (2012), pp, 255–264.
Publishers, (2004).
[2] Aiena, Weyl type theorems for polaroid operators, Extracta Math. 23, No. 2, 103–118 (2008).
[3] M. Amouch, H. Zguitti, On the equivalence of Browder's and generalized Browder's theorem,
Glasgow Math. J. 48 (2006), 179–185.
[4] M. Berkani, On a class of quasi-Fredholm operators, Integr. Equ. and Oper. Theory 34 (1999),
no. 2, p. 244–249.
[5] M. Berkani, Index of B-Fredholm operators and generalization af A Weyl theorem, Proc. Amer.
Math. Soc 130 (2002), 1717–1723.
[6] M. Berkani, J. J. Koliha, Weyl type theorems for bounded linear operators, Acta Sci. Math.
(Szeged) 69 (2003), 359–376.
[7] M. Berkani, M. Sarih, On semi B-Fredholm operators, Glasgow Math. J. 43 (2001), 457–465.
[8] M. Berkani, H. Zariouh, Extended Weyl type theorems, Math. Bohemica Vol. 134, No. 4, pp.
369–378, (2009).
[9] M. Berkani, H. Zariouh, New extended Weyl type theorems, Math. Vesnik. 62, No. 2, pp.
145–154, (2010).
[10] M. Berkani, M. Kachad, H. Zariouh, H. Zguitti, Variations on a-Browder-type theorems, to
appear in Srajevo Journal of Mathematics.
[11] Chenhui Sun, Xiaohong Cao, Lei Dai, Property (w1) and Weyl type theorem, J. Math. Anal.
Appl. 363 (2010) 1–6.
[12] S. V. Djordjevi´c and Y. M. Han, Browder's theorems and spectral continuity , Glasgow Math.
J. 42 (2000), 479–486.
[13] Il Ju An, Young Min Han, New Extended Weyl Type Theorems and Polaroid Operators,
Filomat 27:6 (2013), 1061–1073.
[14] H. Heuser, Functional Analysis, John Wiley & Sons Inc, New York, (1982).
[15] F. Lombarkia, H. Zariouh, Operators possessing properties (gb) and (gw), Bull. Math. Anal.
Appl. 4 (2012), 17–28.
[16] H. Zariouh, Property (gz) for bounded linear operators, Math. Vesnik. 65 (2013), 94–103.
[17] H. Zariouh and Zguitti, Variations on Browder's Theorem, Acta Math. Univ. Comenianae Vol
81, 2 (2012), pp, 255–264.