## Linear Operators: Spectral theory |

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Page 929

Invariant

Invariant

**subspaces**. If T is an operator in a B - space X , and if M is a closed linear**subspace**which is neither { 0 } nor X for which we have TM Ç M , then M is called a ( non - trivial ) invariant**subspace**of X with respect to T. If ...Page 930

this is far from clear , and it is of considerable interest to find non - triv . ial invariant

this is far from clear , and it is of considerable interest to find non - triv . ial invariant

**subspaces**for a ... Aronszajn and Smith [ 1 ] have shown that every compact operator has an invariant**subspace**even when o ( T ) = { 0 } .Page 1228

There is a one - to - one correspondence between closed symmetric

There is a one - to - one correspondence between closed symmetric

**subspaces**S of the Hilbert space D ( T * ) which contain D ... Conversely , if S is a closed symmetric**subspace**of D ( T * ) including D ( T ) , put SI = SO ( DOD_ ) .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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