## Linear Operators: Spectral theory |

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Page 1223

How are we to choose its

How are we to choose its

**domain**? A natural first guess is to choose as**domain**the collection D , of all functions with one continuous derivative .Page 1249

Thus PP * is a projection whose range is N = PM , the final

Thus PP * is a projection whose range is N = PM , the final

**domain**of P. To complete the proof it will suffice to show that P * P is a projection if P is a ...Page 1669

Let Iį be a

Let Iį be a

**domain**in Eni , and let I , be a**domain**in E " . Let M : 11 +1 , be a mapping of I , into 1 , such that ( a ) M - ' C is a compact subset of I ...### 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