E-resources
-
Bilokopytov, Eugene
Linear algebra and its applications, 11/2019, Volume: 580Journal Article
In this article we consider the following equivalence relation on the class of all functions of two variables on a set X: we will say that L,M:X×X→C are rescalings if there are non-vanishing functions f,g on X such that M(x,y)=f(x)g(y)L(x,y), for any x,y∈X. We give criteria for being rescalings when X is a topological space, and L and M are separately continuous, or when X is a domain in Cn and L and M are sesqui-holomorphic. A special case of interest is when L and M are symmetric, and f=g only has values ±1. This relation between M and L in the case when X is finite (and so L and M are square matrices) is known to be characterized by the equality of the principal minors of these matrices. We extend this result to the case when X is infinite. As an application we characterize restrictions of isometries of Hilbert spaces on weakly connected sets as the maps that preserve the volumes of parallelepipeds spanned by finite collections of vectors.
Author
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|
Source: Personal bibliographies
and: SICRIS
The material is available in full text. If you wish to order the material anyway, click the Continue button.