## Linear Operators: General theory |

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Page 243

It is noteworthy that some of the concrete spaces defined above satisfy these

axioms , and hence are special cases of abstract

instance , the n - dimensional unitary space En is a

product ( x , y ) ...

It is noteworthy that some of the concrete spaces defined above satisfy these

axioms , and hence are special cases of abstract

**Hilbert space**. Thus , forinstance , the n - dimensional unitary space En is a

**Hilbert space**, if the innerproduct ( x , y ) ...

Page 256

Whenever the direct sum of normed linear spaces is used as a normed space ,

the norm will be explicitly mentioned . If , however , each of the spaces X1 , . . . ,

Xn are

explicit ...

Whenever the direct sum of normed linear spaces is used as a normed space ,

the norm will be explicitly mentioned . If , however , each of the spaces X1 , . . . ,

Xn are

**Hilbert spaces**then it will always be understood , sometimes withoutexplicit ...

Page 851

4 ( 59 ) discussion of , ( 82 – 83 ) in F - spaces , II . 1 . ... 72 ( 350 ) , ( 561 ) ideals

of , ( 552 – 553 ) , ( 611 ) identity , ( 37 ) limits of , in B - spaces , II . 3 . ... 17 ( 72 )

remarks on , ( 93 ) Orthogonal elements and manifolds in

4 ( 59 ) discussion of , ( 82 – 83 ) in F - spaces , II . 1 . ... 72 ( 350 ) , ( 561 ) ideals

of , ( 552 – 553 ) , ( 611 ) identity , ( 37 ) limits of , in B - spaces , II . 3 . ... 17 ( 72 )

remarks on , ( 93 ) Orthogonal elements and manifolds in

**Hilbert space**, IV . 4 .### What people are saying - Write a review

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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