Nuclear bilinear operators on X×c0Y

We give the necessary and sufficient conditions for a bounded bilinear operator on X × c 0 Y to be nuclear. As application, we find the necessary and sufficient conditions for bilinear multiplication operators M V : E X × c 0 Y → F Z defined by M V x , y = V n x n , y n n ∈ N to be nuclear. For vari...

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Bibliographic Details
Published in:Annals of functional analysis 2023, Vol.14 (3)
Main Author: Popa, Dumitru
Format: Article
Language:English
Subjects:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Summary:We give the necessary and sufficient conditions for a bounded bilinear operator on X × c 0 Y to be nuclear. As application, we find the necessary and sufficient conditions for bilinear multiplication operators M V : E X × c 0 Y → F Z defined by M V x , y = V n x n , y n n ∈ N to be nuclear. For various other similar type of operators, we give the necessary and sufficient conditions to be nuclear.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-023-00272-2