## Linear Operators, Part 2 |

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Page 1175

Then * , is a bounded

Then * , is a bounded

**mapping**of the space L ( L , ( S ) ) into itself . Proof . For each real $ o , let H. be the**mapping**in L , ( L , ( S ) ) defined by ...Page 1671

Then ( i ) F → FoM- is a one - to - one continuous

Then ( i ) F → FoM- is a one - to - one continuous

**mapping**of D ( 11 ) onto all of D ( 12 ) whose inverse is F + FOM ; ( ii ) F → FoM - 1 is a one - to ...Page 1734

Let Uici , be a bounded neighborhood of q chosen so small that BU , CE , and so that there exists a

Let Uici , be a bounded neighborhood of q chosen so small that BU , CE , and so that there exists a

**mapping**9 of U , onto the unit spherical neighborhood V ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero