Thermodynamics Research: Open Access(TROA)

Independent researcher, Spain

Publications

• Review Article   
  Compact Operators on Non-Separable Banach Spaces
  Author(s): Juan Alberto Molina Garcia*
  
  This article examines the theory of compact operators within non-separable Banach spaces. A new classification of these operators is proposed, and specific characteristics that emerge from the absence of separability are investigated. Key results from classical theory—such as the Fredholm and Riesz theorems—are generalised. Several concrete examples are provided to illustrate the proposed theory, clearly demonstrating how the lack of separability significantly impacts traditional spectral and topological analysis. The generalisations presented here greatly broaden the scope of functional analysis in nonseparable contexts and lay a robust groundwork for further exploration in fields such as partial differential equations, mathematical physics and the theory of complex dynamical systems... Read More»
  

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