## Linear Operators: Spectral theory |

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Page 944

In view of Theorem 4 , it suffices to prove that any continuous finite

function f is a linear combination of continuous characters . For s in G let R , be

defined on L , by the equation R = gŪ . Since G is Abelian , it is readily seen that

the ...

In view of Theorem 4 , it suffices to prove that any continuous finite

**dimensional**function f is a linear combination of continuous characters . For s in G let R , be

defined on L , by the equation R = gŪ . Since G is Abelian , it is readily seen that

the ...

Page 1092

Note that if T has finite -

projection on ... Let S be a finite -

T and the range of T * ; suppose that the

...

Note that if T has finite -

**dimensional**range , T = ET , where E is the orthogonalprojection on ... Let S be a finite -

**dimensional**space including both the range ofT and the range of T * ; suppose that the

**dimension**of S is d . Then , plainly , S is...

Page 1146

Any finite

irreducible representations . This theorem shows that in studying finite

generality ...

Any finite

**dimensional**representation of a compact group G is a direct sum ofirreducible representations . This theorem shows that in studying finite

**dimensional**representations of a compact group G we may , without loss ofgenerality ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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