## Linear Operators: General theory |

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Page 373

This generalizes and abstracts a result

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 (

This generalizes and abstracts a result

**proved**for closed linear manifolds in L , [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 ...Page 385

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

slightly later .

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**independently by Cech [ 1 ] onlyslightly later .

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 ...

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 ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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