## Linear Operators: General theory |

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Page 14

X, Y, Z are topological spaces, and if f : X -> Y and g :Y -*□ Z are

then the composite

real or complex number; a scalar

X, Y, Z are topological spaces, and if f : X -> Y and g :Y -*□ Z are

**continuous**,then the composite

**function**fg is**continuous**. The term scalar will be used for areal or complex number; a scalar

**function**is a real or complex valued**function**.Page 274

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

the unit e and contains, with f, its complex conjugate f defined byf(s) = f(s). Then

91 ...

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

**continuous functions**on S. Let 'Si be a closed subalgebra of C(S) which containsthe unit e and contains, with f, its complex conjugate f defined byf(s) = f(s). Then

91 ...

Page 381

10], Hewitt [8] and Edwards [1] consider functionals on the space of

sets. Arens [3] discussed certain sub-algebras of

10], Hewitt [8] and Edwards [1] consider functionals on the space of

**continuous****functions**on a locally compact Hausdorff space which vanish outside of compactsets. Arens [3] discussed certain sub-algebras of

**continuous functions**on a ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

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