摘要:

Conditions are given for a finite set in the enlargement to have a biorthogonal sequence of standard functionals. An application to tensor products is also given.

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631542

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

Most of the well known perturbation results hold for linear operators whose nullity or defect is finite, which implies the existence of topological complements to the null and range spaces respectively. This paper investigates properties associated with the stability of the complementability of the range space under various perturbations.

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631543

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

The proximal limit spaces are introduced which fill the gap arising from the existence of proximity spaces, uniform spaces, and uniform limit spaces. It is shown that the proximal limit spaces can be considered as a bireflective subcategory of the topological category of uniform limit spaces. A limit space is induced by a proximal limit space if and only if it is a S1-limit space.

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631544

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

A systems representation for fourth order differential equations is used to develop variational criteria for the existence and nonexistence of systems conjugate points. The novelty of the results is due to the fact that techniques usually restricted to selfadjoint equations are extended to certain non-self adjoint problems.

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631545

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

1. This note is concerned with integral inequalities of the following form

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631546

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

1. This note is concerned with inequalities of the form

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631547

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

摘要:

If T is an operator on a Banach lattice E we call T weakly irreducible if E contains no non-trivial T-invariant bands. We prove that if E is order complete and if the weakly irreducible operator T > 0 is in (E′oo⊗ E)⊥⊥then T has positive spectral radéus. Prom this follows that Jentesch's theorem holds in arbitrary Banach function spaces.

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631548

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631549

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631550

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor

ISSN:1607-3606    

DOI:10.1080/16073606.1978.9631551

出版商:Taylor & Francis Group    

年代:1978

数据来源: Taylor