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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 real-valued functions $f:[a,b]\to\mathbb R$.

| | | | | created: 2017-08-02 12:59:47 | modified: 2020-01-08 12:24:04 | by: bookofproofs | references: [581]

1.Proof: (related to "Step Functions as a Subspace of all Functions on a Closed Real Interval")

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Bibliography (further reading)

[581] Forster Otto: “Analysis 1, Differential- und Integralrechnung einer Veränderlichen”, Vieweg Studium, 1983