## Linear Operators: Spectral theory |

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Page 1188

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

been

**defined**by the identity (Tal, ... 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

identity for the self adjoint operator T and let f be a complex Borel function

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

thus the above formula

**defines**an operational ... Let E be the resolution of theidentity for the self adjoint operator T and let f be a complex Borel function

**defined**...Page 1645

92 ôa by This is an operator densely

... In order for such an answer to make sense, it is desirable that we should be

able to

92 ôa by This is an operator densely

**defined**in L2(E*), but not a closed operator.... In order for such an answer to make sense, it is desirable that we should be

able to

**define**6, 8, for every function, differentiable or not, and irrespective of ...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

34 other sections not shown

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