## Linear Operators: General theory |

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Page 136

There is a uniquely

o - field containing a given family of sets . Proof . There is at least one field ,

namely the field of all subsets of S , which contains a given family t . The

intersection ...

There is a uniquely

**determined**smallest field and a uniquely**determined**smallesto - field containing a given family of sets . Proof . There is at least one field ,

namely the field of all subsets of S , which contains a given family t . The

intersection ...

Page 455

Let G = U = 1 Yn ; then f is

subset of X * , there exists a denumerable subset Gf of X * such that each fe F is

Let G = U = 1 Yn ; then f is

**determined**by G . It follows that if F is a denumerablesubset of X * , there exists a denumerable subset Gf of X * such that each fe F is

**determined**by GF : We can even assert that each continuous linear functional f ...Page 657

Since y is uniquely

equation y = $ 1 ( x ) . The flow do is assumed to have the property that ( i ) $ ( $ s

( x ) ) = $ e + s ( 2 ) , for all points x in phase space and for all times s and t .

Since y is uniquely

**determined**by x and t , a function $ on S to S is defined by theequation y = $ 1 ( x ) . The flow do is assumed to have the property that ( i ) $ ( $ s

( x ) ) = $ e + s ( 2 ) , for all points x in phase space and for all times s and t .

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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