## Linear Operators: General theory |

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Page 245

Every linear operator on a

Every linear operator on a

**finite**dimensional normed linear space is continuous . Proof . Let { b1 , ... , bn } be a Hamel basis for the**finite**dimensional ...Page 246

Conversely , let the dimension of X * be

Conversely , let the dimension of X * be

**finite**. Then the dimension of X ** is**finite**, and , since X is equivalent to a subspace of X ** ( II.3.19 ) ...Page 290

It is obvious that \ w * ) = [ gc , and so fæ * 1 = ' glcNow suppose that ( S , E , u ) is o -

It is obvious that \ w * ) = [ gc , and so fæ * 1 = ' glcNow suppose that ( S , E , u ) is o -

**finite**, and let En be an increasing sequence of measurable ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

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