## Linear operators: Spectral operators |

### From inside the book

Results 1-3 of 80

Page 1958

the

spectrum of a spectral operator may be ... If E({X}) = 0 it

that A is not in the point spectrum of T, and it is seen from Corollary 7.12 that A is

...

the

**following theorem**, which shows how the existence of points in the residualspectrum of a spectral operator may be ... If E({X}) = 0 it

**follows from Theorem**2that A is not in the point spectrum of T, and it is seen from Corollary 7.12 that A is

...

Page 2194

The first statement

of the form J f(X)E(dX) where/ is .E -essentially bounded on a(S). It

The first statement

**follows from Theorem**3. Let 2lx be the algebra of all operatorsof the form J f(X)E(dX) where/ is .E -essentially bounded on a(S). It

**follows from****Theorem**10 that 21 j is a full algebra of scalar type spectral operators which is ...Page 2360

From this it will then follow as above that the function f(p.) = R(fi; T ... if(/x; T + P) is

compact for p. in V{ and i sufficiently large, so that the theorem will be proved. ... It

From this it will then follow as above that the function f(p.) = R(fi; T ... if(/x; T + P) is

compact for p. in V{ and i sufficiently large, so that the theorem will be proved. ... It

**follows from Theorem**XVIII.2.11 that \TvR{fi; T)E(a„)A\ ^ M sup |A|V|A -ii|_1 \A\.### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

Spectral Operators | 1925 |

Terminology and Preliminary Notions | 1928 |

Copyright | |

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