Information and metrics in Hilbert space

被引：31
|
作者：
Ravicule, M [1 ]
Casas, M [1 ]
Plastino, A [1 ]
机构：
[1] UNIV ILLES BALEARS, DEPT FIS, E-07071 PALMA DE MALLORCA, SPAIN
来源：
PHYSICAL REVIEW A | 1997年 / 55卷 / 03期
关键词：
D O I：
10.1103/PhysRevA.55.1695
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The concept of distance in Hilbert space is relevant in a variety of scenarios, in particular for investigating the quality of different approximations. In this work we study the relations between (i) statistical distances (SD) on a probability space, on the one hand, and (ii) different metrics on Hilbert space (MHS), on the other hand. As a result, we an able to establish some universal relations between SD and MHS and to apply them to one-dimensional problems.
引用
收藏
页码：1695 / 1702
页数：8
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