Projection constants

Projection constants
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by B. Grünbaum

Trans. Amer. Math. Soc. 95 (1960), 451-465

DOI: https://doi.org/10.1090/S0002-9947-1960-0114110-9

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References

Edgar Asplund, Comparison between plane symmetric convex bodies and parallelograms, Math. Scand. 8 (1960), 171–180. MR 125495, DOI 10.7146/math.scand.a-10606

Theorie der konvexen Körper

Mahlon M. Day, Polygons circumscribed about closed convex curves, Trans. Amer. Math. Soc. 62 (1947), 315–319. MR 22686, DOI 10.1090/S0002-9947-1947-0022686-9

Normed linear spaces

Fritz John, Extremum problems with inequalities as subsidiary conditions, Studies and Essays Presented to R. Courant on his 60th Birthday, January 8, 1948, Interscience Publishers, Inc., New York, 1948, pp. 187–204. MR 0030135
S. Kakutani, Some characterizations of Euclidean space, Jpn. J. Math. 16 (1939), 93–97. MR 895, DOI 10.4099/jjm1924.16.0_{9}3
F. W. Levi, Über zwei Sätze von Herrn Besicovitch, Arch. Math. 3 (1952), 125–129 (German). MR 50295, DOI 10.1007/BF01899353
F. J. Murray, On complementary manifolds and projections in spaces $L_p$ and $l_p$, Trans. Amer. Math. Soc. 41 (1937), no. 1, 138–152. MR 1501894, DOI 10.1090/S0002-9947-1937-1501894-5
Herbert Naumann, Beliebige konvexe Polytope als Schnitte und Projektionen höherdimensionaler Würfel, Simplizes und Masspolytope, Math. Z. 65 (1956), 91–103 (German). MR 78701, DOI 10.1007/BF01473872
Andrew Sobczyk, Projection of the space $(m)$ on its subspace $(c_0)$, Bull. Amer. Math. Soc. 47 (1941), 938–947. MR 5777, DOI 10.1090/S0002-9904-1941-07593-2
Andrew Sobczyk, Projections in Minkowski and Banach spaces, Duke Math. J. 8 (1941), 78–106. MR 3443
Angus E. Taylor, A geometric theorem and its application to biorthogonal systems, Bull. Amer. Math. Soc. 53 (1947), 614–616. MR 20718, DOI 10.1090/S0002-9904-1947-08855-8