Uncomplemented subspaces in operator and polynomial ideals

Autor:	Sergio A. Pérez, Geraldo Botelho, Vinícius V. Fávaro
Rok vydání:	2021
Předmět:	Nonlinear system Pure mathematics Polynomial Ideal (set theory) General Mathematics Bounded function Operator (physics) Space (mathematics) Linear subspace Topology (chemistry) Mathematics
Zdroj:	Revista Matemática Complutense. 35:851-869
ISSN:	1988-2807 1139-1138
DOI:	10.1007/s13163-021-00408-9
Popis:	Generalizing a number of known linear and nonlinear results, we establish conditions for the space of linear operators belonging to a given operator ideal not to be complemented in the space of bounded linear operators, and for the space of n-homogeneous polynomials belonging to a given polynomial ideal not to be complemented in the space of continuous n-homogeneous polynomials. Illustrative examples are provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9d6760ac1527d63efa9d95c7bbc72a04 https://doi.org/10.1007/s13163-021-00408-9 Zobrazit plný text záznamu Full text from SpringerLink