spectral set

noun

In operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X.

Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounspectral set (plural spectral sets)

plural spectral sets

  1. mathematicsIn operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X.
Cite this entry
APA

spectral set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/spectral%20set

MLA

“spectral set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/spectral%20set. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “spectral set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/spectral%20set.

Source: spectral set on Wiktionary, CC BY-SA 4.0.