Real Analysis Exchange

On Almost Continuous Derivations

Ewa Stroska

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Abstract

It is proved that every derivation is the sum of two almost continuous (in Stallings' sense) derivations and the limit of a sequence (of a transfinite sequence) of almost continuous derivations.

Article information

Source
Real Anal. Exchange, Volume 32, Number 2 (2006), 391-396.

Dates
First available in Project Euclid: 3 January 2008

Permanent link to this document
https://projecteuclid.org/euclid.rae/1199377479

Mathematical Reviews number (MathSciNet)
MR2369851

Subjects
Primary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27} 14L27 26A51: Convexity, generalizations 54C08: Weak and generalized continuity

Keywords
derivation additive functions continuity almost continuity transfinite sequence

Citation

Stroska, Ewa. On Almost Continuous Derivations. Real Anal. Exchange 32 (2006), no. 2, 391--396. https://projecteuclid.org/euclid.rae/1199377479


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