## Linear Operators: Spectral theory |

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Page 1145

The Peter - Weyl Theorem 1.4 is basic to the theory of

The Peter - Weyl Theorem 1.4 is basic to the theory of

**representations**of compact groups . ... Then a**representation**R of G in X is a strongly continuous homomorphism g → R ( g ) of G into the group of bounded invertible linear ...Page 1146

Any finite dimensional

Any finite dimensional

**representation**of a compact group G is a direct sum of irreducible**representations**. This theorem shows that in studying finite dimensional**representations**of a compact group G we may , without loss of generality ...Page 1217

n = Mn ( e ) = u ( en en ) , ee B , 1 , 2 , ... , A spectral

n = Mn ( e ) = u ( en en ) , ee B , 1 , 2 , ... , A spectral

**representation**of a Hilbert space H onto Ln - 1 La ( un ) relative to a self adjoint operator T in V is said to be an ordered**representation**of H relative to T. The measure u ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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