Year: 2026
Type: article
Abstract: Motivated by recent work exhibiting a locally compact scattered space L constructed under Ostaszewski’s ♣-principle, which yielded a complete classification of linear operators on C0(L×L), we extend the analysis to the bilinear setting. We show that, for this space L, every bilinear operator G:C0(L)×C0(L)→C0(L) admits a unique decomposition into the sum of trivially predictable components. This establishes a bilinear analogue of the few operators phenomenon.
Source: Studia Mathematica
Author: Leandro Candido
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4414976105
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