## Linear Operators, Volume 2 |

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Page 1902

C ( 1003 ) Cluster point , of a set , 1.7.8 ( 29 ) Commutator of two operators ,

C ( 1003 ) Cluster point , of a set , 1.7.8 ( 29 ) Commutator of two operators ,

**definition**, X.9 ( 934 ) Compact operator , in C , VI.9.45 ( 516 ) criteria for and properties of , VI.9.30–35 ( 515 )**definition**, VI.5.1 ( 485 ) ...Page 1907

Essentially bounded ,

Essentially bounded ,

**definition**, III.1.11 ( 100-101 ) E- , X.2 ( 899 ) Essentially separably valued ,**definition**, I11.1.11 ( 100-101 ) Euclidean space ,**definition**, IV.2.1 ( 238 ) further properties , IV.15 ( 374 ) study of , IV.3 ...Page 1921

T on space ,

T on space ,

**definition**, ( 398 ) theorems representation of Boolean rings and algebras , 1.12.1 ( 41 ) , ( 44 ) -Weierstrass theorem , IV.6.16 ( 272 ) complex case , IV.6.17 ( 274 ) remarks on , ( 383-385 ) Strictly convex B - space ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex 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 function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero