## Linear Operators, Part 2 |

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In the same way , the formal

In the same way , the formal

**differential**operator ( i / 2 ) ( d / dt ) " { p ( t ) ( d / dt ) + ( d / dt ) p ( t ) } ( d / dt ) " is formally self adjoint provided that p ( t ) is a real function . If we use these observations ...Page 1528

The ordered sets [ $ { 1 } , 52 ) , ... , s { k - 1 ) , ez ] , i = 1 , 2 , are called the characteristic sets for the irregular singularity at infinity of the

The ordered sets [ $ { 1 } , 52 ) , ... , s { k - 1 ) , ez ] , i = 1 , 2 , are called the characteristic sets for the irregular singularity at infinity of the

**differential**equation . The characteristic sets and the coefficients in the ...Page 1817

On the essential spectra of ordinary

On the essential spectra of ordinary

**differential**equations . Amer . J. Math . 76 , 831-838 ( 1954 ) . Hartman , P. , and Putnam , C. 1 . The least cluster point of the spectrum of boundary value problems . Amer . J. Math .### 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