## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 55

Page 1099

... finite matrix may be approximated arbitrarily closely by non-

is sufficient to consider the case in which T is non-

also non-

... finite matrix may be approximated arbitrarily closely by non-

**singular**matrices, itis sufficient to consider the case in which T is non-

**singular**. Then A = (JT*)1/2 isalso non-

**singular**and if U = A~lT, UU* — A'1 A2 A"1 =1, then U is unitary, and ...Page 1184

suitable hypotheses to map functions satisfying a Holder condition of exponent 0

< e < 1 into functions of the same sort.

Paley ...

**Singular**integrals of Hilbert-Calderon- Zygmund type may be shown undersuitable hypotheses to map functions satisfying a Holder condition of exponent 0

< e < 1 into functions of the same sort.

**Singular**integrals of Hardy-Littlewood-Paley ...

Page 1919

1.1 (95) regular, definition, III. 5. 11 (137) properties, III.5.12-14 (137-138), III.9.19

-22 (170), IV.18.75 (350), IV.6.1 3 (261-265) relativization or restrictions of, III. 8 (T

-finite, III.5.7 (136)

1.1 (95) regular, definition, III. 5. 11 (137) properties, III.5.12-14 (137-138), III.9.19

-22 (170), IV.18.75 (350), IV.6.1 3 (261-265) relativization or restrictions of, III. 8 (T

-finite, III.5.7 (136)

**singular**, III.4.12 (131) spaces of, as conjugate spaces, IV.5.1 ...### 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