Abstract
We show that in several analytic problems our concern is with a non-linear manifold m of a vector space x, which is homogeneous and nearly additive in that for x,y ∈ m, we have x+y in m provided that x and y are in a relation c. We are thus led to the study of the graph (x, c). We outline the fundamentals of the theory of such graphs.
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© 1978 Birkhäuser Verlag Basel
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Masani, P. (1978). An Outline of Vector Graphs and Conditional Banach Spaces. In: Butzer, P.L., Szökefalvi-Nagy, B. (eds) Linear Spaces and Approximation / Lineare Räume und Approximation. International Series of Numerical Mathematics / Intermationale Schriftenreihe zur Numberischen Mathematik / Sùrie Internationale D’analyse Numùruque, vol 40. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7180-8_9
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DOI: https://doi.org/10.1007/978-3-0348-7180-8_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-0979-4
Online ISBN: 978-3-0348-7180-8
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