Open Access
Subscription Access
Open Access
Subscription Access
α-Fredholm Spectrum of Hilbert Space Operators
Subscribe/Renew Journal
The purpose of this article is present some properties of α-Fredholm operators. Also, the corresponding α-Fredholm spectrum of an operator is observed in view of regularities in the sense of V. Muller.
Keywords
Fredholm Operators, α-Fredholm Operators, α-Fredholm Spectrum.
Subscription
Login to verify subscription
User
Font Size
Information
- S. C. Arora and P. Dharmarha, Weighted Weyl spectrum II, Bull. Korean Math. Soc., 43 (4), (2006), 715-722.
- S. C. Arora and P. Dharmarha, Operators satisfying Reσα(T) = σα(Re(T)), Inter.J. Pure Appl. Math., Bulgaria, 2 (2007), 197-202.
- S. C. Arora and P. Dharmarha, On join weighted spectrum, Bull. Cal. Math. Soc., 99 (5),(2007), 539-546.
- S. R. Caradus, W. E. Pfaffenberger and B. Yood, Calkin Algebras and Algebras of Operators on Banach Spaces, Marcel Dekker, Inc. New York, 1974.
- P. Dharmarha, A Study of Weighted Weyl Spectra of Operators, PhD. thesis, Department of Mathematics University of Delhi, India, 2009.
- P. Dharmarha, Weighted Weyl spectrum, Ganita, 58(1), (2007), 67-74.
- G. Edgar, J. Ernest and S. G. Lee, Weighing operator spectra, Indiana Univ. Math. J., 21 (1), (1972), 61-80.
- J. Ernest, Left invertibility of closed operators modulo an -compact operator, Tˆohoku Math. Journ., 24(1972), 529-537.
- V. Kordula and V. Muller, emph On the axiomatic theory of spectrum, Studia Math. 119, (1996), 109-128.
- V. Muller, Spectral Theory of Linear Operators: and Spectral Systems in Banach Algebras, (Operator Theory: Advances and Applications, 139), Birkhauser Basel, 2007.
- M. Schechter, Principles of Functional Analysis, Academic Press, Inc. USA, 1971.
- C. S. Weitz, Regularities in Banach Algebras, U niversity of Johannesburg, Johannesburg, 2008.
- B. S. Yadav and S. C. Arora, A generalization of Weyl Spectrum, Glasnik Mathematici, 15( 35), (1980), 315-319.
Abstract Views: 561
PDF Views: 0