The residual spectrum and the continuous spectrum of upper triangular operator matrices
Keyword(s):
Let H and K be separable infinite dimensional Hilbert spaces. We denote by MC the 2x2 upper triangular operator matrix acting on H ? K of the form MC = (A C/0 B ). For given operators A ? B(H) and B ? B(K), the sets C?B?(K,H) ?r(MC) and C?B?(K,H) ?c(MC) are characterized, where ?r(?) and ?c(?) denote the residual spectrum and the continuous spectrum, respectively
2015 ◽
Vol 13
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pp. 3091-3100
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2014 ◽
Vol 459
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2015 ◽
Vol 64
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pp. 1583-1594
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2006 ◽
Vol 323
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pp. 700-707
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