Banach, Fréchet, Hilbert and Neumann Spaces

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A01=Jacques Simon
Author_Jacques Simon
Category=PBKF
Category=PBWH
compactness
comparison
continuous
derivation
dual
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
functions
images
linear
mappings
metrizable
multivariable
one real variable
properties
seminormed
spaces
subspace
topology
weak

Product details

  • ISBN 9781786300096
  • Weight: 680g
  • Dimensions: 163 x 239mm
  • Publication Date: 23 May 2017
  • Publisher: ISTE Ltd and John Wiley & Sons Inc
  • Publication City/Country: GB
  • Product Form: Hardback
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This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics.

Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces.

The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces.

Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.

Jacques Simon, CNRS, France.

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