## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 80

Page viii

1888 6. Qualitative Theory of the Deficiency Index 1 892 7. Qualitative Theory of

the Spectrum 1485 8. Examples 1508 9. Exercises 1588 10. Notes and Remarks

...

**Spectral Theory**: Compact Resolvents 1830 5.**Spectral Theory**: General Case1888 6. Qualitative Theory of the Deficiency Index 1 892 7. Qualitative Theory of

the Spectrum 1485 8. Examples 1508 9. Exercises 1588 10. Notes and Remarks

...

Page 1333

adjoint operators T derived from formal differential operators in the case where

the resolvent of T is compact was discussed. We turn in this section to the study ...

**Spectra**]**Theory**: General Case In the preceding section the**spectral theory**of selfadjoint operators T derived from formal differential operators in the case where

the resolvent of T is compact was discussed. We turn in this section to the study ...

Page 1803

Convergence to projections. Trans. Amer. Math. Soc. 54, 185-217 (1943). 8.

Integration and linear operations. Trans. Amer. Math. Soc. 40, 474—194 (1936) .

9.

**Spectral theory**. Bull. Amer. Math. Soc. 49, 637-651 (1943). 7.**Spectral theory**I,Convergence to projections. Trans. Amer. Math. Soc. 54, 185-217 (1943). 8.

Integration and linear operations. Trans. Amer. Math. Soc. 40, 474—194 (1936) .

9.

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BAlgebras | 859 |

Commutative BAlgebras | 860 |

Commutative BAlgebras | 874 |

Copyright | |

31 other sections not shown

### Other editions - View all

### Common terms and phrases

Acad adjoint extension adjoint operator algebra Amer analytic B-algebra B*-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients complex numbers constant continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function g Haar measure Hence Hilbert space Hilbert-Schmidt operator hypothesis identity inequality integral interval kernel Lemma linear operator linearly independent mapping Math matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal partial differential operator Plancherel's theorem positive Proc prove real axis real numbers representation satisfies second order Section sequence singular solution spectral set spectral theory square-integrable subspace Suppose symmetric operator topology transform unique unitary vanishes vector zero