## Linear Operators, Part 1 |

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Page 373

This generalizes and abstracts a result

1] by E. Fischer [2]. The fact that a linear manifold which is not dense in the entire

space has a non-zero orthogonal complement (

This generalizes and abstracts a result

**proved**for closed linear manifolds in L2[0,1] by E. Fischer [2]. The fact that a linear manifold which is not dense in the entire

space has a non-zero orthogonal complement (

**proved**in 4.4) was**proved**...Page 385

We now comment briefly on the Theorems 6.18–6.27. They are essentially due,

at least in the real case, to Stone [1], although his terminology and proofs often

differ from that given here. It should be mentioned that Theorem 6.22 was

...

We now comment briefly on the Theorems 6.18–6.27. They are essentially due,

at least in the real case, to Stone [1], although his terminology and proofs often

differ from that given here. It should be mentioned that Theorem 6.22 was

**proved**...

Page 463

124] also

with that of closure in the 3' topology of 3 “. Alaoglu [1; p. 256] and Kakutani [2; p.

170] independently established the equivalence of these types of closure without

...

124] also

**proved**that in the case of a separable space these notions coincidewith that of closure in the 3' topology of 3 “. Alaoglu [1; p. 256] and Kakutani [2; p.

170] independently established the equivalence of these types of closure without

...

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### Contents

A Settheoretic Preliminaries | 1 |

Convergence and Uniform Convergence of Generalized | 26 |

Algebraic Preliminaries | 34 |

Copyright | |

27 other sections not shown

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