E-resources
Peer reviewed
-
Palacios, Ángel Rodríguez
Journal of mathematical analysis and applications, 02/2022, Volume: 506, Issue: 1Journal Article
Let A be a complete normed complex algebra, let π:A→A be a nonzero contractive linear projection, and consider π(A) as a complete normed complex algebra under the product (x,y)→π(xy). We prove the following results.-If A is unital and associative (respectively, alternative) and satisfies the von Neumann inequality, and if π satisfies the weak conditional expectation property(WCE)π(π(a)π(b))=π(π(a)b)=π(aπ(b)) for alla,b∈A, then π(A) is unital and associative (respectively, alternative) and satisfies the von Neumann inequality.-If A is an Arazy algebra, and if π satisfies the weak Jordan conditional expectation (namely the symmetrization of (WCE)), then π(A) is an Arazy algebra. (We note that, in the possibly non power-associative setting, Arazy algebras are the adequate substitutes of complete normed unital power-associative complex algebras satisfying the von Neumann inequality.)-If the closed multiplication algebra of A satisfies the von Neumann inequality, and if π is an elementary operator, then the closed multiplication algebra of π(A) satisfies the von Neumann inequality.
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.