## Linear Operators: Spectral operators |

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Page 2403

We then use this inequality to

artificial setting , essentially to multiplication ... A first

made in this way , and immediately following upon this we develop a similar but ...

We then use this inequality to

**apply**Theorem 1 in an illustrative but somewhatartificial setting , essentially to multiplication ... A first

**application**( Theorem 6 ) ismade in this way , and immediately following upon this we develop a similar but ...

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Q.E.D. Theorem 1 and its corollaries are readily generalized to

unbounded operators . 8 THEOREM . Let X be a B - space , and let T be a closed

, densely defined operator in X , with domain D ( T ) . Let A be an “ auxiliary ” B -

space ...

Q.E.D. Theorem 1 and its corollaries are readily generalized to

**apply**tounbounded operators . 8 THEOREM . Let X be a B - space , and let T be a closed

, densely defined operator in X , with domain D ( T ) . Let A be an “ auxiliary ” B -

space ...

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Q.E.D. By using appropriate " diagonalizing " transformations ( cf. Theorem XII.

3.16 ) , we may

following ...

**Applying**Theorem 8 and Corollary 9 , the present theorem follows at once .Q.E.D. By using appropriate " diagonalizing " transformations ( cf. Theorem XII.

3.16 ) , we may

**apply**Theorem 21 to analyze a variety of operators . Thefollowing ...

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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