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Functional Analysis And Operator Theory

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2 domain-specific abstractions whose origin domain is Functional Analysis And Operator Theory.

  • Lomonosov's invariant subspace theorem — A theorem stating that every bounded operator on an infinite-dimensional complex Banach space that commutes with a nonzero compact operator has a nontrivial closed invariant subspace.
  • Spectrum (functional analysis) — The set of scalars for which an operator minus that scalar times the identity fails to possess an everywhere-defined bounded inverse.