[1] |
Erik M. Alfsen, Compact convex sets and boundary integrals, Springer-Verlag, New York-Heidelberg, 1971. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 57. · Zbl 0209.42601 |
[2] |
Erik M. Alfsen, On the geometry of Choquet simplexes, Math. Scand. 15 (1964), 97 – 110. · Zbl 0189.42802 · doi:10.7146/math.scand.a-10733 |
[3] |
Erik M. Alfsen and Tage Bai Andersen, Split faces of compact convex sets, Proc. London Math. Soc. (3) 21 (1970), 415 – 442. · Zbl 0207.12204 · doi:10.1112/plms/s3-21.3.415 |
[4] |
Erik M. Alfsen and Edward G. Effros, Structure in real Banach spaces. I, II, Ann. of Math. (2) 96 (1972), 98 – 128; ibid. (2) 96 (1972), 129 – 173. · Zbl 0248.46019 · doi:10.2307/1970895 |
[5] |
T. Andô, On fundamental properties of a Banach space with a cone, Pacific J. Math. 12 (1962), 1163 – 1169. · Zbl 0123.30802 |
[6] |
N. Aronszajn and P. Panitchpakdi, Extension of uniformly continuous transformations and hyperconvex metric spaces, Pacific J. Math. 6 (1956), 405 – 439. · Zbl 0074.17802 |
[7] |
Leonard Asimow, Monotone extensions in ordered Banach spaces and their duals, J. London Math. Soc. (2) 6 (1973), 563 – 569. · Zbl 0267.46005 · doi:10.1112/jlms/s2-6.3.563 |
[8] |
W. G. Bade, The Banach space \?(\?), Lecture Notes Series, No. 26, Matematisk Institut, Aarhus Universitet, Aarhus, 1971. · Zbl 0224.46026 |
[9] |
F. Cunningham Jr., \?-structure in \?-spaces, Trans. Amer. Math. Soc. 95 (1960), 274 – 299. · Zbl 0094.30402 |
[10] |
F. Cunningham Jr., Edward G. Effros, and Nina M. Roy, \?-structure in dual Banach spaces, Israel J. Math. 14 (1973), 304 – 308. · Zbl 0285.46059 · doi:10.1007/BF02764892 |
[11] |
Mahlon M. Day, Normed linear spaces, 3rd ed., Springer-Verlag, New York-Heidelberg, 1973. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 21. · Zbl 0268.46013 |
[12] |
David W. Dean, The equation \?(\?,\?**)=\?(\?,\?)** and the principle of local reflexivity, Proc. Amer. Math. Soc. 40 (1973), 146 – 148. · Zbl 0263.46014 |
[13] |
Edward G. Effros, On a class of real Banach spaces, Israel J. Math. 9 (1971), 430 – 458. · Zbl 0223.46024 · doi:10.1007/BF02771459 |
[14] |
Edward G. Effros, On a class of complex Banach spaces, Illinois J. Math. 18 (1974), 48 – 59. · Zbl 0291.46011 |
[15] |
A. J. Ellis, The duality of partially ordered normed linear spaces, J. London Math. Soc. 39 (1964), 730 – 744. · Zbl 0131.11302 · doi:10.1112/jlms/s1-39.1.730 |
[16] |
Hicham Fakhoury, Préduaux de \?-espace: Notion de centre, J. Functional Analysis 9 (1972), 189 – 207 (French). · Zbl 0228.46022 |
[17] |
R. E. Fullerton, Geometrical characterizations of certain function spaces, Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960) Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 227 – 236. |
[18] |
Dwight B. Goodner, Projections in normed linear spaces, Trans. Amer. Math. Soc. 69 (1950), 89 – 108. · Zbl 0041.23203 |
[19] |
A. Grothendieck, Une caractérisation vectorielle-métrique des espaces \?\textonesuperior , Canad. J. Math. 7 (1955), 552 – 561 (French). · Zbl 0065.34503 · doi:10.4153/CJM-1955-060-6 |
[20] |
Olof Hanner, Intersections of translates of convex bodies, Math. Scand. 4 (1956), 65 – 87. · Zbl 0070.39302 · doi:10.7146/math.scand.a-10456 |
[21] |
Morisuke Hasumi, The extension property of complex Banach spaces, Tôhoku Math. J. (2) 10 (1958), 135 – 142. · Zbl 0087.10901 · doi:10.2748/tmj/1178244708 |
[22] |
Bent Hirsberg, \?-ideals in complex function spaces and algebras, Israel J. Math. 12 (1972), 133 – 146. · Zbl 0238.46054 · doi:10.1007/BF02764658 |
[23] |
B. Hirsberg and A. J. Lazar, Complex Lindenstrauss spaces with extreme points, Trans. Amer. Math. Soc. 186 (1973), 141 – 150. · Zbl 0244.46013 |
[24] |
Otte Hustad, Intersection properties of balls in complex Banach spaces whose duals are \?\(_{1}\) spaces, Acta Math. 132 (1974), no. 3-4, 283 – 313. · Zbl 0309.46025 · doi:10.1007/BF02392118 |
[25] |
Otte Hustad, A note on complex \?\(_{1}\) spaces, Israel J. Math. 16 (1973), 117 – 119. · Zbl 0284.46012 · doi:10.1007/BF02761976 |
[26] |
-, Intersection properties of balls infinite dimensional \( {l_1}\) spaces, 1974 (preprint). |
[27] |
Richard V. Kadison, A representation theory for commutative topological algebra, Mem. Amer. Math. Soc., No. 7 (1951), 39. · Zbl 0042.34801 |
[28] |
Shizuo Kakutani, Concrete representation of abstract (\?)-spaces and the mean ergodic theorem, Ann. of Math. (2) 42 (1941), 523 – 537. · Zbl 0027.11102 · doi:10.2307/1968915 |
[29] |
Shizuo Kakutani, Concrete representation of abstract (\?)-spaces. (A characterization of the space of continuous functions.), Ann. of Math. (2) 42 (1941), 994 – 1024. · Zbl 0060.26604 · doi:10.2307/1968778 |
[30] |
J. L. Kelley, Banach spaces with the extension property, Trans. Amer. Math. Soc. 72 (1952), 323 – 326. · Zbl 0046.12002 |
[31] |
V. L. Klee Jr., On certain intersection properties of convex sets, Canadian J. Math. 3 (1951), 272 – 275. · Zbl 0042.40701 |
[32] |
H. Elton Lacey, The isometric theory of classical Banach spaces, Springer-Verlag, New York-Heidelberg, 1974. Die Grundlehren der mathematischen Wissenschaften, Band 208. · Zbl 0285.46024 |
[33] |
Ka Sing Lau, The dual ball of a Lindenstrauss space, Math. Scand. 33 (1973), 323 – 337 (1974). · Zbl 0309.46024 · doi:10.7146/math.scand.a-11494 |
[34] |
A. J. Lazar, Polyhedral Banach spaces and extensions of compact operators, Israel J. Math. 7 (1969), 357 – 364. · Zbl 0204.45101 · doi:10.1007/BF02788867 |
[35] |
Joram Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. No. 48 (1964), 112. · Zbl 0141.12001 |
[36] |
J. Lindenstrauss and H. P. Rosenthal, The \cal\?_{\?} spaces, Israel J. Math. 7 (1969), 325 – 349. · Zbl 0205.12602 · doi:10.1007/BF02788865 |
[37] |
Joram Lindenstrauss and Lior Tzafriri, Classical Banach spaces, Lecture Notes in Mathematics, Vol. 338, Springer-Verlag, Berlin-New York, 1973. · Zbl 0259.46011 |
[38] |
Joram Lindenstrauss and Daniel E. Wulbert, On the classification of the Banach spaces whose duals are \?\(_{1}\) spaces, J. Functional Analysis 4 (1969), 332 – 349. · Zbl 0184.15102 |
[39] |
Leopoldo Nachbin, A theorem of the Hahn-Banach type for linear transformations, Trans. Amer. Math. Soc. 68 (1950), 28 – 46. · Zbl 0035.35402 |
[40] |
Gunnar Hans Olsen, On the classification of complex Lindenstrauss spaces, Math. Scand. 35 (1974), 237 – 258. · Zbl 0325.46021 · doi:10.7146/math.scand.a-11550 |
[41] |
H. Reiter, Contributions to harmonic analysis. VI, Ann. of Math. (2) 77 (1963), 552 – 562. · Zbl 0118.11403 · doi:10.2307/1970130 |
[42] |
Shôichirô Sakai, \?*-algebras and \?*-algebras, Springer-Verlag, New York-Heidelberg, 1971. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60. · Zbl 0233.46074 |
[43] |
Jón R. Stefánsson, On a problem of J. Dixmier concerning ideals in a von Neumann algebra., Math. Scand. 24 (1969), 111 – 112. · Zbl 0185.21301 · doi:10.7146/math.scand.a-10924 |
[44] |
Erling Størmer, On partially ordered vector spaces and their duals, with applications to simplexes and \?*-algebras, Proc. London Math. Soc. (3) 18 (1968), 245 – 265. · Zbl 0162.44002 · doi:10.1112/plms/s3-18.2.245 |
[45] |
Peter D. Taylor, A characterization of \?-spaces, Israel J. Math. 10 (1971), 131 – 134. · Zbl 0218.46019 · doi:10.1007/BF02771524 |
[46] |
Richard Evans, A characterization of \?-summands, Proc. Cambridge Philos. Soc. 76 (1974), 157 – 159. · Zbl 0283.46010 |
[47] |
E. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jber. Deutsch Math. Verein. 32 (1923), 175-176. · JFM 49.0534.02 |
[48] |
F. Perdrizet, Espaces de Banach ordonnés et idéaux, J. Math. Pures Appl. (9) 49 (1970), 61 – 98 (French). · Zbl 0194.43203 |
[49] |
Jacques Stern, Some applications of model theory in Banach space theory, Ann. Math. Logic 9 (1976), no. 1-2, 49 – 121. · Zbl 0378.02026 · doi:10.1016/0003-4843(76)90006-1 |
[50] |
Hicham Fakhoury, Existence d’une projection continue de meilleure approximation dans certains espaces de Banach, J. Math. Pures Appl. (9) 53 (1974), 1 – 16 (French). · Zbl 0286.46023 |
[51] |
U. Uttersrud, Cand. real thesis, Oslo Univ. (unpublished). |