## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Conversely , let T be a self adjoint

Conversely , let T be a self adjoint

**extension**of T. Then by Lemma 26 , T , is the restriction of T * to a subspace W of D ( T * ) determined by a symmetric family of linearly independent boundary conditions B : ( x ) = 0 , i = 1 , ...Page 1270

**Extensions**of symmetric operators . The problem of determining whether a given symmetric operator has a self adjoint**extension**is of crucial importance in determining whether the spectral theorem may be employed .Page 1397

Q.E.D. It follows from Theorem 5 and Corollary 4 that the set of nonisolated points of the spectrum of a self adjoint

Q.E.D. It follows from Theorem 5 and Corollary 4 that the set of nonisolated points of the spectrum of a self adjoint

**extension**T of T. ( T ) is independent of the particular**extension**chosen , i.e. , is independent of the particular ...### What people are saying - Write a review

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### Other editions - View all

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

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