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Asymmetry and projection constants of Banach spaces. (English) Zbl 0253.46024

MSC:
46B15 Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces
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[1] W. J. Davis,Remarks on finite rank projections, to appear. · Zbl 0278.41035
[2] D. J. H. Garling and Y. Gordon,Relations between some constants associated with finite dimensional Banach spaces, Israel J. Math.9 (1971), 346–361. · Zbl 0212.14203 · doi:10.1007/BF02771685
[3] Y. Gordon,On p-absolutely summing constants of Banach spaces, Israel. J. Math.7 (1969), 151–163. · Zbl 0179.17502 · doi:10.1007/BF02771662
[4] Y. Gordon, D. R. Lewis and J. R. Retherford,Banach ideals of operators with applications to the finite dimensional structure of Banach spaces, Israel J. Math.13 (1973), 348–360. · Zbl 0253.46060 · doi:10.1007/BF02762810
[5] A. Grothendieck,Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. São Paulo8 (1956), 1–79.
[6] B. Grünbaum,Projection constants, Trans. Amer. Math. Soc.95 (1960), 451–465. · Zbl 0095.09002
[7] V. I. Gurarii, M. I. Kadec, and V. I. Macaev,On Banach-Mazur distance between certain Minkowski spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.13 (1965), 719–722.
[8] F. John,Extremum problems with inequalities as subsidiary conditions, Courant Anniversary Volume, Interscience, New York, 1948, 187–204.
[9] M. I. Kadec, to appear in Funckional Anal. i Prilôzen.
[10] S. Kwapien,On a theorem of L. Schwartz and its applications to absolutely summing operators, Studia Math.38 (1970), 193–201. · Zbl 0211.43505
[11] A. Persson and A. Pietsch,p-nukleare und p-integrale Abbildungen in Banachräumen, Studia Math.33 (1969), 19–62.
[12] A. Pietsch,Absolute p-summierende Abbildungen in normierten Räumen, Studia Math.28 (1967), 333–353. · Zbl 0156.37903
[13] A. Pietsch,Adjungierte normierten Operatorenideale, Math. Nach.48 (1971), 189–211. · Zbl 0233.46084 · doi:10.1002/mana.19710480114
[14] H. P. Rosenthal,On subspaces of L p, to appear.
[15] D. Rutovitz,Some parameters associated with finite-dimensional Banach spaces. J. London Math. Soc.40 (1965), 241–255. · Zbl 0125.06402 · doi:10.1112/jlms/s1-40.1.241
[16] P. Saphar,Produits tensoriels d’espaces des Banach et classes d’applications linéaires, Studia Math.38 (1970), 71–100. · Zbl 0213.14201
[17] R. Schatten,A theory of cross-spaces, Princeton, 1950. · Zbl 0041.43502
[18] Y. Gordon and D. R. Lewis,Absolutely summing, L 1 factorizable operators and applications, to appear. · Zbl 0277.47016
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