spectral set

Noun

Meaning

spectral set (plural spectral sets)

(mathematics) In operator theory, a set



X
⊆

C



{\displaystyle X\subseteq \mathbb {C} }

such that, for a (possibly unbounded) linear operator



T


{\displaystyle T}

on a Banach space, the spectrum of



T


{\displaystyle T}

is in



X


{\displaystyle X}

and von Neumann's inequality holds for



T


{\displaystyle T}

on



X


{\displaystyle X}

.

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