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Fredholm Theory in Topological Vector Spaces. - The Chinese University of Hong Kong

julac-cuhk.primo.exlibrisgroup.com

This book pushes classical Fredholm operator theory into the abstract world of topological vector spaces — revealing where century-old mathematical frameworks hold, bend, or break entirely.

Fredholm TheoryRiesz Operator TheoryFunctional AnalysisTopological Vector Spaces

Theory Briefing

  • Fredholm theory, originally built for integral equations, is here extended to the broader setting of topological vector spaces.
  • Riesz operator theory — governing compact-like operators — is reexamined to test which properties survive without a normed structure.
  • The book exposes the structural limits of classical operator frameworks, revealing how mathematical generalization reshapes foundational results.