## Constructive Functional Analysis |

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### Contents

PREFACE i | 1 |

METRIC SPACES | 21 |

cov CXY and Ascolis theorem | 39 |

Copyright | |

10 other sections not shown

### Common terms and phrases

algebra analysis applied approximation arbitrary Banach space basis belong bounded calculus called Cauchy Chapter choice choose classical closed complemented set complete computable condition consider constructive continuous mapping converges convex corresponding define dense differentiable domain element equality equivalent example exists extension finite dimensional follows full set functional calculus Given hand Hence Hilbert space induction integrable function integrable set interval Let f LIBRARY limit linear functional linear subspace locally compact space located Math means measure metric space Moreover necessary normable normed space Note obtain operator norm particular pointwise positive integer positive numbers precompact problem proof properties Prove real numbers representation resp respect result selfadjoint separable sequence subset suppose Theorem theory thick norm turn uniform uniformly continuous unique UNIVERSITY weak whence write