[1] Argyros S A, Castillo J M F, Granero A S, et al. Complementation and embeddings of c0(I) in Banach spaces. Proc Lond Math Soc, 2002, 85:742-772 [2] Avilés A, Sánchez F C, Castillo Jesús M F, et al. On separably injective Banach Spaces. Advances in Mathematics, 2013, 234:192-216 [3] Bao L, Cheng L, Cheng Q, Dai D. On universally left-stability of ε-isometry. Acta Math Sin, Engl Ser, 2013, 29(11):2037-2046 [4] Benyamini Y. An M-space which is not isomorphic to a C(K)-space. Israel J Math, 1977, 28:98-104 [5] Benyamini Y, Lindenstrauss J. Geometric nonlinear functional analysis. Vol 1//American Mathematical Society Colloquium Publications. Vol 48. Providence, RI:American Mathematical Society, 2000 [6] Cheng L, Cheng Q, Tu K, Zhang J. A universal theorem for stability of ε-isometries of Banach spaces. J Funct Anal, 2015, 269:199-214 [7] Cheng L, Dai D, Dong Y, et al. Universal stability of Banach spaces for ε-isometries. Studia Math, 2014, 221:141-149 [8] Cheng L, Dong Y, Zhang W. On stability of nonlinear non-surjective ε-isometries of Banach spaces. J Funct Anal, 2013, 264:713-734 [9] Dai D, Dong Y. On stability of Banach spaces via nonlinear ε-isometries. J Math Anal Appl, 2014, 414:996-1005 [10] Dilworth S J. Approximate isometries on finite-dimensional normed spaces. Bull London Math Soc, 1999, 31:471-476 [11] Figiel T. On non linear isometric embeddings of normed linear spaces. Bull Acad Polon Sci Math Astro Phys, 1968, 16:185-188 [12] Holmes R B. Geometric Functional Analysis and its Applications. Graduate Texts in Mathematics. Vol 24. New York:Springer, 1975 [13] Hyers D H, Ulam S M. On approximate isometries. Bull Amer Math Soc, 1945, 51:288-292 [14] Johnson W B, Lindenstrauss J. Some remarks on weakly compactly generated Banach spaces. Israel J Math, 1974, 17:219-230 [15] Johnson W B, Oikhberg T. Separable lifting property and extensions of local reflexivity. Illinois J Math, 2001, 45:123-137 [16] Kalton N. Extending Lipschitz maps into C(K)-spaces. Israel J Math, 2007, 162:275-315 [17] Lindenstrauss J. On the extension of operators with range in a C(K) space. Proc Amer Math Soc, 1964, 15:218-225 [18] Mazur S, Ulam S. Sur les transformations isométriques d'espaces vectoriels normés. C R Acad Sci Paris, 1932, 194:946-948 [19] Omladič M, Šemrl P. On non linear perturbations of isometries. Math Ann, 1995, 303:617-628 [20] Phelps R R. Convex functions, monotone operators and differentiability. Lecture Notes in Mathematics 1364. Springer, 1989 [21] Qian S. ε-Isometric embeddings. Proc Amer Math Soc, 1995, 123:1797-1803 [22] Šemrl P, Väisälä J. Nonsurjective nearisometries of Banach spaces. J Funct Anal, 2003, 198:268-278 [23] Tabor J. Stability of surjectivity. J Approx Theory, 2000, 105:166-175 |