Elementary Operators with m -Null Symbols

Isabel Marrero ()
Additional contact information
Isabel Marrero: Departamento de Análisis Matemático, Universidad de La Laguna (ULL), 38200 La Laguna, Spain

Mathematics, 2025, vol. 13, issue 5, 1-14

Abstract: Motivated by Botelho and Jamison’s seminal 2010 study on elementary operators that are m -isometries, in this paper, we introduce the concept of m -null pairs of operators and establish some structural properties and characterizations of the class of elementary operators whose symbols are m -null (so-called m -null elementary operators). It is shown that if the symbols of an elementary operator L are, in turn, a p -null elementary operator and a q -null elementary operator, then L is a ( p + q − 1 ) -null elementary operator. Some extant results on elementary m -isometries can be recovered from this renewed perspective, often providing added value.

Keywords: elementary operator; m -isometry; m -null operators; ( m , T)-null operators; Stirling numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/5/741/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/5/741/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:5:p:741-:d:1599002

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().