## Linear Operators: General theory |

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Page 186

... in proving uniqueness in Lemma 1 goes through without change in this case .

Q . E . D . 3 DEFINITION . The

2 is called the product

... in proving uniqueness in Lemma 1 goes through without change in this case .

Q . E . D . 3 DEFINITION . The

**measure space**( S , E , u ) constructed in Theorem2 is called the product

**measure space**of the**measure spaces**( Sm , En , Mn ) .Page 188

It is clear that the measure has the property n = 1 M ( P E ) = II Hi ( E ; ) , Eie Ei , i =

i = 1 and it follows from the ... Q . E . D . As in the case of finite

we shall call the

It is clear that the measure has the property n = 1 M ( P E ) = II Hi ( E ; ) , Eie Ei , i =

i = 1 and it follows from the ... Q . E . D . As in the case of finite

**measure spaces**we shall call the

**measure space**( S , E , u ) constructed in Corollary 6 from the o ...Page 405

sional Gauss

all real sequences x = [ wn ] as distinct from l2 , which is the subspace of s

determined by the condition in a < oo . The

the ...

sional Gauss

**measure**on the real line . The**space**s is , of course , the**space**ofall real sequences x = [ wn ] as distinct from l2 , which is the subspace of s

determined by the condition in a < oo . The

**measure**Moo is countably additive ;the ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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