## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 46

Page 1782

If each of the spaces 3:1, ..., 3., is a

, with the product topology (cf.I.8), is also a

subspace)', is topologically as well as algebraically equivalent to 3, .

If each of the spaces 3:1, ..., 3., is a

**linear topological space**, then the direct sum £, with the product topology (cf.I.8), is also a

**linear topological space**in which thesubspace)', is topologically as well as algebraically equivalent to 3, .

Page 1787

Mean ergodic theorem in locally conver

13, 190–193 (1953). 5. The Fredholm theory of linear equations in locally conver

topological spaces. Bull. Acad. Polon. Sci. Cl. III. 2, 267–269 (1954). Ambrose, W.

Mean ergodic theorem in locally conver

**linear topological spaces**. Studia Math.13, 190–193 (1953). 5. The Fredholm theory of linear equations in locally conver

topological spaces. Bull. Acad. Polon. Sci. Cl. III. 2, 267–269 (1954). Ambrose, W.

Page 1845

On the ariom of the nonconvergent sequences in some

Revista Unión Mat. Argentina 12, 129–150 (1947). (Spanish. French summary). 2

. A characterization of the normed vector ordered spaces of continuous ...

On the ariom of the nonconvergent sequences in some

**linear topological space**.Revista Unión Mat. Argentina 12, 129–150 (1947). (Spanish. French summary). 2

. A characterization of the normed vector ordered spaces of continuous ...

### What people are saying - Write a review

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

### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

17 other sections not shown

### Other editions - View all

### Common terms and phrases

adjoint extension adjoint operator algebra Amer analytic B-algebra Banach Borel set boundary conditions boundary values bounded operator closed closure Cº(I coefficients complete complex numbers 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 f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping Math matrix measure Nauk SSSR N.S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Plancherel's theorem positive Proc PRoof prove real numbers satisfies sequence singular ſº solution spectral spectral set spectral theory square-integrable subspace Suppose theory To(r topology transform unique unitary vanishes vector zero