## Linear Operators: General theory |

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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 X topology of X*. 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 X topology of X*. Alaoglu [1; p. 256] and Kakutani [2; p.

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

...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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