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

页码：1695 / 1702

页数：8

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