## Linear Operators, Part 2 |

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Page 1782

If each of the spaces 3'11, . . ., 5,, is a linear

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

which the subspaceim, is topologically as well as algebraically equivalent to I1.

If each of the spaces 3'11, . . ., 5,, is a linear

**topological space**, then the directsum X, with the product topology (cf.I.8), is also a linear

**topological space**inwhich the subspaceim, is topologically as well as algebraically equivalent to I1.

Page 1845

On the axiom of the nonconvergent sequences in some linear

Revista Union Mat. Argentina 12, I29-150 (1947). (Spanish. French summary). A

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

On the axiom of the nonconvergent sequences in some linear

**topological space**.Revista Union Mat. Argentina 12, I29-150 (1947). (Spanish. French summary). A

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

Page 1921

algebras, 1.12.1 (41), (44) -Weierstrass ... Strictly convex B-

7 (458) Strictly convex B-

**space**, definition, (898) theorems on representation of Boolean rings andalgebras, 1.12.1 (41), (44) -Weierstrass ... Strictly convex B-

**space**, definition, V11.7 (458) Strictly convex B-

**space**, definition, \'1l.7 (458) Strong operator**topology**, ...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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### Common terms and phrases

Acad adjoint extension adjoint operator algebra Amer analytic B-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients 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 hypothesis identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Paoor partial differential operator Pnoor positive preceding lemma 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