Studia Mathematica· 2026Q1
Few bilinear operators on spaces of continuous functions
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- Q1SCImago
- 2026year
Short summary
Every bilinear operator on C0(L)×C0(L) for a specific scattered space L uniquely decomposes into trivially predictable components, extending the 'few operators' phenomenon to the bilinear setting.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces a bilinear analogue of the 'few operators' phenomenon.
- Focuses on bilinear operators G: C0(L)×C0(L) → C0(L) for a specific scattered space L.
- Demonstrates that every such bilinear operator admits a unique decomposition into trivially predictable components.
- Extends recent work on linear operators on C0(L×L).
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Studia Mathematica, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics