## Linear Operators: General theory |

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Page 37

If T : X + Y and U : Y → Z are linear transformations , and X , Y , Z are linear

spaces over the same field Ø , the product UT , defined by ( UT ) X = U ( Tx ) , is a

linear transformation which maps X into 3 . If T is a

said ...

If T : X + Y and U : Y → Z are linear transformations , and X , Y , Z are linear

spaces over the same field Ø , the product UT , defined by ( UT ) X = U ( Tx ) , is a

linear transformation which maps X into 3 . If T is a

**linear operator**on X to X , it issaid ...

Page 494

It is clear that the operator T , defined by ( b ) , is a bounded

S ) to X whose adjoint T * is given by ( d ) . From IV.10.2 we conclude that T *

maps the unit sphere of X * into a conditionally weakly compact set of rca ( S ) ,

and ...

It is clear that the operator T , defined by ( b ) , is a bounded

**linear operator**on C (S ) to X whose adjoint T * is given by ( d ) . From IV.10.2 we conclude that T *

maps the unit sphere of X * into a conditionally weakly compact set of rca ( S ) ,

and ...

Page 838

8 - 12 ( 71 ) remarks on , ( 93 – 94 ) in a

orthogonal and orthonormal bases in ... 8 ( 223 ) Borel - Stieltjes measure , ( 142

) Bound , of an

the ...

8 - 12 ( 71 ) remarks on , ( 93 – 94 ) in a

**linear**space . ( See Hamel base )orthogonal and orthonormal bases in ... 8 ( 223 ) Borel - Stieltjes measure , ( 142

) Bound , of an

**operator**, II . 3 . 5 ( 60 ) in a partially ordered set , I . 2 . 3 ( 4 ) inthe ...

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

Algebraic Preliminaries | 34 |

Copyright | |

80 other sections not shown

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