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Proposition: Step Functions as a Subspace of all Functions on a Closed Real Interval
The set $T[a,b]$ of all step functions defined on a closed real interval \([a,b]\) is a subspace of the vector space of all realvalued functions $f:[a,b]\to\mathbb R$.
Table of Contents
Proofs: 1
Mentioned in:
Definitions: 1
Proofs: 2 3 4 5
Propositions: 6 7 8
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References
Bibliography
 Forster Otto: "Analysis 1, Differential und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983