## Linear Operators: Spectral theory |

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Page 873

Let ~4.1 be the set in .4% of all sta with A e A. To see that .44 is dense in .4

suppose the contrary and let {{Isola,(ot)—a ... Now, the complete regularity of A

enables us to see that every

G be a ...

Let ~4.1 be the set in .4% of all sta with A e A. To see that .44 is dense in .4

suppose the contrary and let {{Isola,(ot)—a ... Now, the complete regularity of A

enables us to see that every

**open set**in A is a union of sets of the form (8), for letG be a ...

Page 993

It remains to be proved that the number or is independent of the

in L1(R) n L2(R), f vanishes on the complement of V, and f(m) = 1 for m in an

open subset Vo of V, then the above proof shows that (of)(m) = xy for every m in

Vo, ...

It remains to be proved that the number or is independent of the

**open set**V. If f isin L1(R) n L2(R), f vanishes on the complement of V, and f(m) = 1 for m in an

open subset Vo of V, then the above proof shows that (of)(m) = xy for every m in

Vo, ...

Page 1151

R = U.1 K. We observe that if A and B are disjoint closed subsets of R and if n is

an integer, then there is an

This is true since for each p e A n K, there is an

R = U.1 K. We observe that if A and B are disjoint closed subsets of R and if n is

an integer, then there is an

**open set**U C R such that A n K, C U and U n B = 4.This is true since for each p e A n K, there is an

**open set**U(p) such that p e U(p) ...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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