## Linear Operators: Spectral theory |

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Page 1188

Q.E.D. The Hilbert space adjoint T * of a bounded operator T in Hilbert space has

been

necessarily bounded and this concept is formulated in the following

Q.E.D. The Hilbert space adjoint T * of a bounded operator T in Hilbert space has

been

**defined**by the identity ( Tx , y ) ... space adjoint of an operator which is notnecessarily bounded and this concept is formulated in the following

**definition**.Page 1196

bounded Borel functions into an algebra of normal operators in Hilbert space and

thus the above formula

self adjoint operator T and let | be a complex Borel function

bounded Borel functions into an algebra of normal operators in Hilbert space and

thus the above formula

**defines**an ... Let E be the resolution of the identity for theself adjoint operator T and let | be a complex Borel function

**defined**E - almost ...Page 1548

extensions of S and Ŝ respectively , and let an ( T ) and 2n ( ft ) be the numbers

space Hi , and let T , be a self adjoint operator in Hilbert space Hz .

operator ...

extensions of S and Ŝ respectively , and let an ( T ) and 2n ( ft ) be the numbers

**defined**for the self adjoint operators T ... be a self adjoint operator in Hilbertspace Hi , and let T , be a self adjoint operator in Hilbert space Hz .

**Define**theoperator ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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