## Linear Operators: Spectral theory |

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Page 1236

Every closed

Every closed

**symmetric**extension of T is the restriction of T * to the subspace of D ( T * ) determined by a**symmetric**family of boundary conditions ...Page 1238

Let T be a

Let T be a

**symmetric**operator with finite deficiency indices whose sum is p . Let A1 , ... , A , be a complete set of boundary values for T , and let XIj ...Page 1272

Marimal

Marimal

**symmetric**operators . If T is a**symmetric**operator with dense domain , then it has proper**symmetric**extensions provided both of its deficiency ...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero