About: Compact operator on Hilbert space

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Functional analysis concept

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  • functional analysis concept (en)
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  • If there is an injective compact operator in ; then the operators can be simultaneously diagonalized. (en)
  • Suppose all the operators in are compact. Then every closed non-zero -invariant sub-space has a common eigenvector for . (en)
  • If H a finite-dimensional Hilbert space, and a commutative set of operators, each of which is diagonalisable; then the operators can be simultaneously diagonalized. (en)
  • If all the operators in are compact then the operators can be simultaneously diagonalized. (en)
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  • Lemma (en)
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  • Theorem 3 (en)
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  • Compact operator on Hilbert space (en)
  • Συμπαγής τελεστής σε χώρο Hilbert (el)
  • ヒルベルト空間上のコンパクト作用素 (ja)
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