## Linear Operators: Spectral theory |

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Page 930

this is far from clear , and it is of considerable interest to find non - trivial

subspaces for a given operator . It is not known whether every operator , distinct

from the zero and identity operators , has a non - trivial

this is far from clear , and it is of considerable interest to find non - trivial

**invariant**subspaces for a given operator . It is not known whether every operator , distinct

from the zero and identity operators , has a non - trivial

**invariant**, subspace .Page 944

Since G is Abelian , it is readily seen that the family { R , s eg } is a commutative

family of unitary operators on Lą . By hypothesis , the subspace F generated by

the translates of f is a finite dimensional manifold which is

...

Since G is Abelian , it is readily seen that the family { R , s eg } is a commutative

family of unitary operators on Lą . By hypothesis , the subspace F generated by

the translates of f is a finite dimensional manifold which is

**invariant**under each of...

Page 1911

15 ( 140 )

metric , in a group , ( 90 – 91 ) in a linear space , il . 1 . 10 ( 51 )

15 ( 140 )

**Invariant**measures , V . 11 . 22 ( 460 ) , V1 . 9 . 38 - 44 ( 516 )**Invariant**metric , in a group , ( 90 – 91 ) in a linear space , il . 1 . 10 ( 51 )

**Invariant**set , ( 3 )**Invariant**subgroup , ( 35 )**Invariant**subspace , definition of , X . 9 ( 929 ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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