## Linear Operators: Spectral theory |

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Results 1-3 of 68

Page 1306

Number of linearly independent boundary values for t : At a At b ( i ) ( ii ) ( iii ) ( iv )

In H . Weyl ' s terminology we say that an end point a is of limit point type with

respect to the real

of ...

Number of linearly independent boundary values for t : At a At b ( i ) ( ii ) ( iii ) ( iv )

In H . Weyl ' s terminology we say that an end point a is of limit point type with

respect to the real

**second order**operator t if t has no boundary values at a , andof ...

Page 1835

The application of generalized displacement operators to linear differential

equations of the

112 ( 1949 ) . ( Russian ) Math . Rev . 11 , 116 ( 1950 ) . Amer . Math . Soc .

The application of generalized displacement operators to linear differential

equations of the

**second order**. Uspehi Matem . Nauk ( N . S . ) 4 , no . 1 ( 29 ) , 3 -112 ( 1949 ) . ( Russian ) Math . Rev . 11 , 116 ( 1950 ) . Amer . Math . Soc .

Page 1848

On the spectrum of singular non - self - adjoint differential operators of the

Math . Rev . 14 , 473 ( 1953 ) . 10 . Investigation of the spectrum and expansion in

...

On the spectrum of singular non - self - adjoint differential operators of the

**second****order**. Doklady Akad . Nauk SSSR ( N . S . ) 85 , 41 - 44 ( 1952 ) . ( Russian )Math . Rev . 14 , 473 ( 1953 ) . 10 . Investigation of the spectrum and expansion in

...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

additive adjoint operator 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 shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero