## Linear Operators: Spectral theory |

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Page 1272

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

If T is a symmetric operator with dense domain , then it has proper symmetric extensions provided both of its deficiency

**indices**are different from zero .Page 1396

If the minimum of the deficiency

If the minimum of the deficiency

**indices**of T. ( T ) is k , then for 10 , ( ) the equation to = lo has at least k linearly independent solutions in L ( I ) ...Page 1610

( 16 ) Suppose that ( a , b ) = [ 0 , ) , that the deficiency

( 16 ) Suppose that ( a , b ) = [ 0 , ) , that the deficiency

**indices**of t are equal and that there exists a sequence { { n } of square - integrable ...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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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