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Template:Lp spaces

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Lp spaces
Basic concepts
  • Banach & Hilbert spaces
  • Lp spaces
  • Measure
    • Lebesgue
  • Measure space
  • Measurable space/function
  • Minkowski distance
  • Sequence spaces
L1 spaces
  • Integrable function
  • Lebesgue integration
  • Taxicab geometry
L2 spaces
  • Bessel's
  • Cauchy–Schwarz
  • Euclidean distance
  • Hilbert space
  • Parseval's identity
  • Polarization identity
  • Pythagorean theorem
  • Square-integrable function
L ∞ {\displaystyle L^{\infty }} {\displaystyle L^{\infty }} spaces
  • Bounded function
  • Chebyshev distance
  • Infimum and supremum
    • Essential
  • Uniform norm
Maps
  • Almost everywhere
  • Convergence almost everywhere
  • Convergence in measure
  • Function space
  • Integral transform
  • Locally integrable function
  • Measurable function
  • Symmetric decreasing rearrangement
Inequalities
  • Babenko–Beckner
  • Chebyshev's
  • Clarkson's
  • Hanner's
  • Hausdorff–Young
  • Hölder's
  • Markov's
  • Minkowski
  • Young's convolution
Results
  • Marcinkiewicz interpolation theorem
  • Plancherel theorem
  • Riemann–Lebesgue
  • Riesz–Fischer theorem
  • Riesz–Thorin theorem
For Lebesgue measure
  • Isoperimetric inequality
  • Brunn–Minkowski theorem
    • Milman's reverse
  • Minkowski–Steiner formula
  • Prékopa–Leindler inequality
  • Vitale's random Brunn–Minkowski inequality
Applications & related
  • Bochner space
  • Fourier analysis
  • Lorentz space
  • Probability theory
  • Quasinorm
  • Real analysis
  • Sobolev space
  • *-algebra
    • C*-algebra
    • Von Neumann
Template documentation

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To change this template's initial visibility, the |state= parameter may be used:

  • {{Lp spaces|state=collapsed}} will show the template collapsed, i.e. hidden apart from its title bar.
  • {{Lp spaces|state=expanded}} will show the template expanded, i.e. fully visible.
Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages.
Subpages of this template.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Template:Lp_spaces&oldid=1286654478"
Last edited on 21 April 2025, at 05:50

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