## Linear Operators: Spectral theory |

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Page 972

From the preceding lemma it is seen that | - le + p ) ( x ) = [ c , p ] - xe , 2 6 R .

Since characters have modulus

in the argument just given to conclude that u ( e ) = u ( e + p - p ) < oo and

ule ...

From the preceding lemma it is seen that | - le + p ) ( x ) = [ c , p ] - xe , 2 6 R .

Since characters have modulus

**equal**to ... would replace e and p by e tp and - pin the argument just given to conclude that u ( e ) = u ( e + p - p ) < oo and

**equals**ule ...

Page 1147

( b ) Any irreducible representation of G is

representations Rľa ) . ... in a complete set of representations is

number of distinct classes of G . The main aim of the representation theory of

compact groups is to ...

( b ) Any irreducible representation of G is

**equivalent**to one of therepresentations Rľa ) . ... in a complete set of representations is

**equal**to thenumber of distinct classes of G . The main aim of the representation theory of

compact groups is to ...

Page 1454

Q . E . D . 23 LEMMA . If T is a closed symmetric operator in Hilbert space , and T

is bounded below , then ( a ) the essential spectrum of T is a subset of the real

axis which is bounded below ; ( b ) the deficiency indices of T are

.

Q . E . D . 23 LEMMA . If T is a closed symmetric operator in Hilbert space , and T

is bounded below , then ( a ) the essential spectrum of T is a subset of the real

axis which is bounded below ; ( b ) the deficiency indices of T are

**equal**. PROOF.

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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