## Linear Operators, Part 2 |

### From inside the book

Results 1-3 of 41

Page 1826

Unconditional convergence in

Unconditional convergence in

**Banach spaces**. Bull . Amer . Math . Soc . 54 , 148-152 ( 1948 ) . 2 . Bases in**Banach spaces**. Duke Math . J. 15 , 971-985 ( 1948 ) . Kato , T. 1 . On the convergence of the perturbation method , I , II .Page 1844

Convexity in a linear space with an inner product . ... Absolute and unconditional convergence in

Convexity in a linear space with an inner product . ... Absolute and unconditional convergence in

**Banach spaces**. ... Linear transformations between Hilbert spaces and the application of this theory to linear partial differential ...Page 1871

16 . Eigenfunction expansions associated with second - order differential equations . Oxford Univ . Press , London , 1946 . Titov , N. S. 1 . On different kinds of convergence of elements and linear operators in

16 . Eigenfunction expansions associated with second - order differential equations . Oxford Univ . Press , London , 1946 . Titov , N. S. 1 . On different kinds of convergence of elements and linear operators in

**Banach spaces**.### 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 |

Miscellaneous Applications | 937 |

Copyright | |

11 other sections not shown

### Other editions - View all

### Common terms and phrases

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