## Linear Operators: General theory |

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Page 40

If x is regular , its unique inverse is denoted by x - 1 . An element which is not (

right , left ) regular is called ( right , left ) singular . If 0 is a field , then a set X is

said to be an

( xy ) ...

If x is regular , its unique inverse is denoted by x - 1 . An element which is not (

right , left ) regular is called ( right , left ) singular . If 0 is a field , then a set X is

said to be an

**algebra**over 0 if X is a ring as well as a vector space over Ø and if a( xy ) ...

Page 44

Thus the concepts of Boolean

If B and C are Boolean algebras and h : B + C , then h is said to be a

homomorphism , or a Boolean

y ) , h ...

Thus the concepts of Boolean

**algebra**and Boolean ring with unit are equivalent .If B and C are Boolean algebras and h : B + C , then h is said to be a

homomorphism , or a Boolean

**algebra**homomorphism , if h ( x ^ y ) = h ( x ) ^ h (y ) , h ...

Page 274

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

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 ) .

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

**algebra**of all complexcontinuous 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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