## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 1188

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

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

**defined**by the identity ( Tx ... adjoint of an operator which is not necessarily 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

bounded Borel functions into an algebra of normal operators in Hilbert space and thus the above formula

**defines**an ... the self adjoint operator T and let f be a complex Borel function**defined**E - almost everywhere on the real axis .Page 1548

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

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

**defined**for the self adjoint operators T and Î ...**Define**the operator T in H = H , H2 by setting D ( T ) = D ( Ti ) 0 D ( T2 ) and Tx = T ( x , xg ) = TX ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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### Other editions - View all

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

### Common terms and phrases

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