UNIVERSITY
OF WROC£AW
 
Main Page
Online First
Contents of previous volumes
Forthcoming papers
General Information
Instructions for authors


VOLUMES
42.2 42.1 41.2 41.1 40.2 40.1 39.2
39.1 38.2 38.1 37.2 37.1 36.2 36.1
35.2 35.1 34.2 34.1 33.2 33.1 32.2
32.1 31.2 31.1 30.2 30.1 29.2 29.1
28.2 28.1 27.2 27.1 26.2 26.1 25.2
25.1 24.2 24.1 23.2 23.1 22.2 22.1
21.2 21.1 20.2 20.1 19.2 19.1 18.2
18.1 17.2 17.1 16.2 16.1 15 14.2
14.1 13.2 13.1 12.2 12.1 11.2 11.1
10.2 10.1 9.2 9.1 8 7.2 7.1
6.2 6.1 5.2 5.1 4.2 4.1 3.2
3.1 2.2 2.1 1.2 1.1
 
 
WROC£AW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 9, Fasc. 1,
pages 133 - 138
 

WIENER PROCESSES WITH VALUES IN p -HOMOGENEOUS FR…CHET SPACES

T. Jurlewicz

Abstract: It is known that Wiener processes taking values in separable Banach spaces can be expanded into series of independent real Brownian processes. This property is very useful in many instances, e.g., in the proof of the law of the iterated logarithm. Known proofs of this theorem are based on the usual convex technique of normed spaces and cannot be adapted for more general situations. In our paper we present a different approach, based on properties of unconditional convergence of double series in vector spaces. This technique allows to extend the theorem to p -homogeneous Frťchet spaces.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

Download:    Abstract    Full text   Abstract + References