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Separation of spectra for block triangles

Author(s): Robin Harte; Cora Stack
Journal: Proc. Amer. Math. Soc. 136 (2008), 3159-3162.
MSC (2000): Primary 47A10
Posted: March 11, 2008
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Abstract | References | Similar articles | Additional information

Abstract: Separation of the spectra of the diagonal elements of a block triangle corresponds to comparison with its fundamental projection.

References:

1.: R. E. Harte, Invertibility and singularity for bounded linear operators, Marcel Dekker, 1988. MR 0920812 (89d:47001)
2.: R. E. Harte, Invertibility and singularity of operator matrices, Proc. Royal Irish Acad. 88A (1988), 103-118. MR 986217 (90a:15019)
3.: R. E. Harte, Block diagonalization in Banach algebras, Proc. Amer. Math. Soc. 129 (2000), 181-190. MR 1784022 (2001k:47013)
4.: R. E. Harte and C. M. Stack, Invertibility for spectral triangles, Operators and Matrices 1 (2007), 445-453.


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