## Linear Operators: Spectral theory |

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A bounded operator T in Hilbert space is called unitary if TT * = T * T = 1 ; it is called self adjoint , symmetric or Hermitian if T = T * ;

A bounded operator T in Hilbert space is called unitary if TT * = T * T = 1 ; it is called self adjoint , symmetric or Hermitian if T = T * ;

**positive**if it is self adjoint and if ( Tx , x ) > 0 for every x in V ; and**positive**definite ...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**positive**if and only if o ( T ) is a subset of the interval ( 0 , 0 ) . Proof .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 { m ;; } is defined by the equations Misle ) = 5.9 . , ( 1 ) u ( da ) , where e is ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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