COMPACT FACTORIZATION OF OPERATORS WITH λ-COMPACT ADJOINTS

Autor:	Anil Kumar Karn, Antara Bhar
Rok vydání:	2017
Předmět:	Pure mathematics General Mathematics 010102 general mathematics Space (mathematics) 01 natural sciences Sequence space 010101 applied mathematics Compact space Monotone polygon Factorization Norm (mathematics) Completeness (order theory) 0101 mathematics Normal sequence Mathematics
Zdroj:	Glasgow Mathematical Journal. 60:123-134
ISSN:	1469-509X 0017-0895
DOI:	10.1017/s0017089516000604
Popis:	Let λ be a symmetric, normal sequence space equipped with a k-symmetric, monotone norm ‖.‖λ. Also, assume that (λ, ‖.‖λ) is AK-BK. Corresponding to this sequence space λ, we study compactness of the operator ideal Kλ. We proved compactness, completeness and injectivity of the dual operator ideal Kλd. We also investigate the factorization of these operators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::24d15a987cf7edf0f0057b3a022a2103 https://doi.org/10.1017/s0017089516000604 Zobrazit plný text záznamu