## Linear Operators, Part 2 |

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Page 968

The group Ř is called the character group or the dual group of R. We topologize Ř by taking the sets N ( h , K , 4 ) = { 6 R + ( 2 ) -1 ( 2 ) < 4 , 2 € Kỳ , K h , | | | , as a base for its topology , where e > 0 is

The group Ř is called the character group or the dual group of R. We topologize Ř by taking the sets N ( h , K , 4 ) = { 6 R + ( 2 ) -1 ( 2 ) < 4 , 2 € Kỳ , K h , | | | , as a base for its topology , where e > 0 is

**arbitrary**and K is an ...Page 1179

Theorem 25 remains valid in the full range 1 < p < 0 , and for functions | with values in an

Theorem 25 remains valid in the full range 1 < p < 0 , and for functions | with values in an

**arbitrary**Hilbert space . Proof . Note that Theorem 20 goes over with trivial modifications of its proof to functions with values in an ...Page 1795

The Dirichlet problem for linear elliptic equations of

The Dirichlet problem for linear elliptic equations of

**arbitrary**even order with variable coefficients . Proc . Nat . Acad . Sci . U.S.A. 38 , 230–235 ( 1952 ) . 2 . The Dirichlet and vibration problems for linear elliptic differential ...### 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 given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity Nauk 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