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- W2086482092 abstract "ABsTRAcr. Stampfli has shown that for a given T E B(H) there exists a K E C(H) so that a(T + K) = a,(T). An analogous result holds for the essential numerical range W,(T). A compact operator K is said to preserve the Weyl spectrum and essential numerical range of an operator T E B(H) if a(T + K) = aG(T) and W(T + K)= W,(T). THEoREm. For each block diagonal operator T, there exists a conmact operator K which presenres the Weyl spectrum and essential numerical range of T. The perturbed operator T + K is not, in general, block diagonal. An example is given of a block diagonal operator T for which there can be no block diagonal perturbation which preserves the Weyl spectrum and essential numerical range of T." @default.
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- W2086482092 date "1979-01-01" @default.
- W2086482092 modified "2023-09-26" @default.
- W2086482092 title "A simultaneous lifting theorem for block diagonal operators" @default.
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- W2086482092 doi "https://doi.org/10.1090/s0002-9947-1979-0530063-8" @default.
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