Normal eigenvalue: Difference between revisions

Revision as of 02:05, 13 August 2025

Revision as of 02:24, 13 August 2025

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The spectrum of a closed operator <math>A:\,\mathfrak{B}\to\mathfrak{B}</math> in the Banach space <math>\mathfrak{B}</math> can be decomposed into the union of two disjoint sets, the set of normal eigenvalues and the fifth type of the [[essential spectrum]]:

:<math>

\sigma(A)= \sigma_{\mathrm{d}}\cup\sigma_{\mathrm{ess}, 5}(A).

</math>