Zur Berechnung der Absoluten Projektionskonstanten Endlich - Dimensionaler Normierter Vektorräume

On the calculation of absolute projection constants in finite-dimensional normed vector spaces

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  • Peter Pottinger Gesamthochschule Duisburg, Institute fur Mathematik, Germany
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References

Cheney, E. W., Price, K. H., Minimal projections. 1970 Approximation Theory (Proc. Sympos., Lancaster, 1969) pp. 261-289 Academic Press, London, MR0265842.

Day, Mahlon M., Normed linear spaces. Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg; 1962 vii+139 pp., MR0145316.

Garling, D. J. H., Gordon, Y., Relations between some constants associated with finite dimensional Banach spaces. Israel J. Math. 9 (1971), 346-361, MR0412775, https://doi.org/10.1007/bf02771685

Goodner, Dwight B., Projections in normed linear spaces. Trans. Amer. Math. Soc. 69, (1950). 89-108, MR0037465, https://doi.org/10.1090/s0002-9947-1950-0037465-6

Grothendieck, Alexandre, Produits tensoriels topologiques et espaces nucléaires. (French) Mem. Amer. Math. Soc. 1955 (1955), no. 16, 140 pp., MR0075539, https://doi.org/10.1090/memo/0016

Grünbaum, B., Projection constants. Trans. Amer. Math. Soc. 95 1960 451-465, MR0114110, https://doi.org/10.1090/s0002-9947-1960-0114110-9

Phillips, R. S., On linear transformations. Trans. Amer. Math. Soc. 48, (1940). 516-541, MR0004094, https://doi.org/10.1090/s0002-9947-1940-0004094-3

Pottinger, P., Absolute Projektionskonstanten endlich-dimensionaler normierter Vektorräume. Disseration. Bochum 1973.

Pottinger, P., Zur Fortsetzung stetiger linearer Abbildungen. (German) Vorträge der Wissenschaftlichen Jahrestagung der Geselleschaft für Angewandte Mathematik und Mechanik (Bochum, 1974). Z. Angew. Math. Mech. 55 (1975), no. 4, T257-T259, MR0405151.

Taylor, Angus, E. Introduction to functional analysis. John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London 1958 xvi+423 pp., MR0098966

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Published

1975-08-01

How to Cite

Pottinger, P. (1975). Zur Berechnung der Absoluten Projektionskonstanten Endlich - Dimensionaler Normierter Vektorräume: On the calculation of absolute projection constants in finite-dimensional normed vector spaces. Anal. Numér. Théor. Approx., 4(2), 161–170. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1975-vol4-no2-art7

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