Theorems and Counterexamples in Mathematics pp 42-185 | Cite as

# Analysis

Chapter

## Abstract

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))

## Keywords

Banach Space Topological Vector Space Toeplitz Matrix Commutative Banach Algebra Measure Situation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer Science+Business Media New York 1990