<p>We study a point-separation property for constructing large algebraic and topological structures in topological vector spaces. Based on linear separation, we introduce the notion of transversal lineability and provide general criteria, establish connections with classical notions, and present applications.</p>

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Pointwise Transversal Lineability

  • Nacib G. Albuquerque,
  • Anselmo Raposo Jr.,
  • Geivison Ribeiro

摘要

We study a point-separation property for constructing large algebraic and topological structures in topological vector spaces. Based on linear separation, we introduce the notion of transversal lineability and provide general criteria, establish connections with classical notions, and present applications.