## Linear Operators: General theory |

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Page 224

Functions of a Complex Variable In some of the chapters to follow , and

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

in the theory of

functions ...

Functions of a Complex Variable In some of the chapters to follow , and

especially 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 228

... using this Cauchy integral formula in several variables , the following

convergence theorem of Weierstrass : Let ' n be a uniformly bounded sequence

of vector valued functions each defined and

space of the ...

... using this Cauchy integral formula in several variables , the following

convergence theorem of Weierstrass : Let ' n be a uniformly bounded sequence

of vector valued functions each defined and

**analytic**on an open set U in thespace of the ...

Page 229

A function f

( x ) = ap ( 2 — 20 ) ” , p =which converges uniformly and absolutely in every

annulus ata 52 — 3B - ɛ with ε > 0 . The coefficients a , are given by the formulas

is f ...

A function f

**analytic**in an annulus a < 12 - 20 < has a unique Laurent expansion f( x ) = ap ( 2 — 20 ) ” , p =which converges uniformly and absolutely in every

annulus ata 52 — 3B - ɛ with ε > 0 . The coefficients a , are given by the formulas

is f ...

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### Contents

Special Spaces | 237 |

Convex Sets and Weak Topologies | 409 |

General Spectral Theory | 555 |

Copyright | |

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