Abstract
For the real plane endowed with a strictly convex and smooth norm the class of maximally accretive operators coincides with the class of m-accretive operators exactly when the norm generates an inner product.
Keywords
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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Brezis, H., Operateurs Maximaux Monotones. Notas de Matemàtica (50). North-Holland Publishing Company, Amsterdam/London 1973.
Bruck, R.C., Nonexpansive projections on subsets of Banach spaces. Pacific J. Math. 47 (1973), 341–355.
Crandall, M.G., Liggett, T.M., A theorem and a counterexample in the theory of semigroups of nonlinear transformations. Trans. Amer. Math. Soc. 160 (1971), 263–278.
Laugwith, D., Konvexe Mittelpunktsbereiche und normierte Räume. Math. Z. 61 (1954), 235–244.
Minty, G.J., Monotone (nonlinear) operators in Hilbert space. Duke Math. J. 29 (1962), 341–346.
Zarantonello, E.H., Piecewise atone interpolation of monotone operators. Ann. Scuola Norm. Sup. Pisa. Serie IV, IX, 4 (1982), 497–528.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Basel AG
About this chapter
Cite this chapter
Berens, H., Hetzelt, L. (1984). On Maximally Accretive Operators in the Plane. In: Butzer, P.L., Stens, R.L., Sz.-Nagy, B. (eds) Anniversary Volume on Approximation Theory and Functional Analysis. ISNM 65: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 65. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5432-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5432-0_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5434-4
Online ISBN: 978-3-0348-5432-0
eBook Packages: Springer Book Archive