This text is an introduction to functional analysis which requires
readers to have a minimal background in linear algebra and real
analysis at the first-year graduate level. Prerequisite knowledge
of general topology or Lebesgue integration is not required. The
book explains the principles and applications of functional
analysis and explores the development of the basic properties of
normed linear, inner product spaces and continuous linear operators
defined in these spaces. Though Lebesgue integral is not discussed,
the book offers an in-depth knowledge on the numerous applications
of the abstract results of functional analysis in differential and
integral equations, Banach limits, harmonic analysis, summability
and numerical integration. Also covered in the book are versions of
the spectral theorem for compact, symmetric operators and
continuous, self adjoint operators.
General
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