## Linear Operators, Part 2 |

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Page 906

... symmetric or Hermitian if T = T * ;

... symmetric or Hermitian if T = T * ;

**positive**if it is self adjoint and if ( Tx , x ) 20 for every x in H ; and**positive**definite if it is**positive**and ...Page 1247

Q.E.D. Next we shall require some information on

Q.E.D. Next we shall require some information on

**positive**self adjoint transformations and their square roots . 2 LEMMA . A self adjoint transformation T is ...Page 1338

Let { M is } be a

Let { M is } be a

**positive**matrix measure whose elements Mis are continuous with respect to a**positive**o - finite measure u . If the matrix of densities ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

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 complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense 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 Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero