• Bernard R. Gelbaum
  • John M. H. Olmsted
Part of the Problem Books in Mathematics book series (PBM)


Let f, g, be R-valued functions defined on a set X endowed with a topology (In many instances X is, for some n, a subset of R“.) The following facts about R and functions f, g, are the basis of much of the subsequent discussion. The set of points of continuity resp. discontinuity of a function f is denoted Cont(f) resp. Discont(f). If f E ’ the set of points where f’ exists (does not exist) is denoted Diff(f) (Nondiff(f))


Banach Space Topological Vector Space Toeplitz Matrix Commutative Banach Algebra Measure Situation 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Bernard R. Gelbaum
    • 1
  • John M. H. Olmsted
    • 2
  1. 1.Department of MathematicsState University of New York at BuffaloBuffaloUSA
  2. 2.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

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