Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity

Key Points

• Necessary and sufficient conditions for singularity are identified, transforming understanding of embeddings.
• Estimates for Bernstein numbers reveal how their values fluctuate with the underlying exponents.
• The analysis examines both strictly singular and finitely strictly singular embeddings in variable Lebesgue spaces.
• Findings enhance theoretical frameworks for singularity in mathematical spaces, suggesting implications for further research.