[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2013.50.3.1021

RIGHT AND LEFT FREDHOLM OPERATOR MATRICES

Djordjevic, Dragan S. (Faculty of Sciences and Mathematics University of Nis)
Kolundzija, Milica Z. (Faculty of Sciences and Mathematics University of Nis)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 1021-1027 More about this Journal

Abstract

We consider right and left Fredholm operator matrices of the form $$\[\array{A$ $&$ $C\\T$ $&$ $S}\]$$ , which are linear and bounded on the Banach space $Z=X{\oplus}Y$ .

Keywords

right (left) Fredholm; operator matrices;

Citations & Related Records

Reference

1	H. Du and J. Pan, Perturbation of spectrums of $2{\times}2$ operator matrices, Proc. Amer. Math. Soc. 121 (1994), no. 3, 761-766.
2	B. P. Duggal, Upper triangular operator matrices, SVEP and Browder, Weyl theorems, Integral Equations Operator Theory 63 (2009), no. 1, 17-28. DOI
3	G. Hai and A. Chen, Perturbations of the right and left spectra for operator matrices, J. Operator Theory 67 (2012), no. 1, 207-214.
4	J. K. Han, H. Y. Lee, and W. Y. Lee, Invertible completions of $2{\times}2$ upper triangular operator matrices, Proc. Amer. Math. Soc. 128 (2000), no. 1, 119-123. DOI ScienceOn
5	R. Harte, Invertibility and Singularity for Bounded Linear Operators, Marcel Dekker, New York, 1988.
6	M. Kolundzija, Right invertibility of operator matrices, Funct. Anal. Approx. Comput. 2 (2010), no. 1, 1-5.
7	W. Y. Lee, Weyl spectra of operator matrices, Proc. Amer. Math. Soc. 129 (2001), no. 1, 131-138. DOI ScienceOn
8	V. Muler, Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras, Birkhauser Verlag, Basel-Boston-Berlin, 2007.
9	C. Tretter, Spectral Theory of Block Operator Matrices and Applications, Imperial College Press, London, 2008.
10	D. S. Djordjevic, Perturbations of spectra of operator matrices, J. Operator Theory 48 (2002), no. 3, 467-486.