## Linear Operators: Spectral theory |

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Page 929

Perturbation theory . References for perturbation theory have already been given

in Section VII.11 . The results in Section 7 are essentially due to Rellich [ 2 ; II ) .

See also Riesz and Sz . - Nagy [ 1 ; Secs . 134-136 ] . Invariant

Perturbation theory . References for perturbation theory have already been given

in Section VII.11 . The results in Section 7 are essentially due to Rellich [ 2 ; II ) .

See also Riesz and Sz . - Nagy [ 1 ; Secs . 134-136 ] . Invariant

**subspaces**.Page 930

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

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

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 , distinctfrom the zero and identity operators , has a non - trivial invariant

**subspace**.Page 1228

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

S of the Hilbert space D ( T * ) which contain D ( T ) and ... Conversely , if S is a

closed symmetric

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

**subspaces**S of the Hilbert space D ( T * ) which contain D ( T ) and ... Conversely , if S is a

closed symmetric

**subspace**of D ( T * ) including D ( T ) , put S1 = Sn ( D OD_ ) .### 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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