## Linear Operators: General theory |

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Page 224

Functions of a

especially in Chapter VII , we shall use extensions of certain well - known results

in the theory of analytic functions of a

functions ...

Functions of a

**Complex**Variable In some of the chapters to follow , andespecially in Chapter VII , we shall use extensions of certain well - known results

in the theory of analytic functions of a

**complex**variable to the case where thefunctions ...

Page 238

With the one exception of Hilbert space , each of them will consist of real or

and multiplication are understood to be defined in the natural way , i . e . , by the ...

With the one exception of Hilbert space , each of them will consist of real or

**complex**valued functions f , g defined on a specified domain S . Here , additionand multiplication are understood to be defined in the natural way , i . e . , by the ...

Page 274

Let S be a compact Hausdorff space and C ( S ) be the algebra of all

continuous functions on S . Let A be a closed subalgebra of C ( S ) which

contains the unit e and contains , with f , its

= f ( s ) .

Let S be a compact Hausdorff space and C ( S ) be the algebra of all

**complex**continuous functions on S . Let A be a closed subalgebra of C ( S ) which

contains the unit e and contains , with f , its

**complex**conjugate f defined by f ( s )= f ( s ) .

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### Contents

Metric Spaces | 19 |

Convergence and Uniform Convergence of Generalized | 26 |

Exercises | 33 |

Copyright | |

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