Thermodynamics Research: Open Access(TROA)

Independent researcher, Spain

Publications

• Research Article   
  Spectral Theory in Non-Separable Banach Spaces: Generalizations, New Properties and Structural Extension
  Author(s): Juan Alberto Molina Garcia*
  
  This article addresses the extension of classical spectral theory to the setting of non-separable Banach spaces (NSBS), a field that remains underdeveloped despite its increasing relevance in functional analysis and mathematical physics. While spectral theory in separable Banach spaces has been thoroughly investigated—particularly through the work of Fredholm, Riesz, and others—the transition to nonseparable spaces presents both technical and conceptual challenges. These arise mainly from the absence of countable dense subsets and orthonormal or Schauder bases, which are instrumental in formulating and proving classical theorems. The main objective of this work is to provide a rigorous and systematic framework for spectral theory in NSBS, focusing on the classification of spectral components, the generalisation of key theorems, and the topological and algebraic behaviour o.. Read More»
  

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