## Linear Operators: Spectral theory |

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Page 955

The letter M will

be the isometric isomorphism of A onto C ( M ) whose existence is asserted by

Corollary IX.3.8 . For f in Ly ( R ) , we usually write t ( Tp ) simply as tf . The letter E

...

The letter M will

**denote**the space of maximal ideals of A , and t : A + C ( M ) willbe the isometric isomorphism of A onto C ( M ) whose existence is asserted by

Corollary IX.3.8 . For f in Ly ( R ) , we usually write t ( Tp ) simply as tf . The letter E

...

Page 1126

of the closed set C ; we shall

C ) . Since each projection in the spectral resolution of T and hence each

continuous function of T is a strong limit of linear combinations of the projections

Ei , it ...

of the closed set C ; we shall

**denote**this subspace of L [ 0 , 1 ] by the symbol † (C ) . Since each projection in the spectral resolution of T and hence each

continuous function of T is a strong limit of linear combinations of the projections

Ei , it ...

Page 1673

Let I , and I , be open subsets of C , and C , respectively , and let M : 11 → 1 , be a

mapping of l , into 1 , such that q ( M ( . ) ) is in C ,,, ( 11 ) whenever y is in 07. ( 12

) . Then ( i ) for each p in C90 ( 12 ) the symbol qoM will

Let I , and I , be open subsets of C , and C , respectively , and let M : 11 → 1 , be a

mapping of l , into 1 , such that q ( M ( . ) ) is in C ,,, ( 11 ) whenever y is in 07. ( 12

) . Then ( i ) for each p in C90 ( 12 ) the symbol qoM will

**denote**the function y ...### What people are saying - Write a review

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Linear Operators, Part 2: Spectral Theory, Self Adjoint Operators in Hilbert ... Nelson Dunford,Jacob T. Schwartz No preview available - 1988 |

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