On automorphic Banach spaces

摘要: A Banach space X will be called extensible if every operator E → from a subspace ⊂ can extended to an X. Denote by dens The smallest cardinal of subset whose linear span is dense in X, the automorphic when for into isomorphism T: which X/E = X/TE automorphism Lindenstrauss and Rosenthal proved that c0 conjectured l2 are only separable spaces. Moreover, they ask about or character c0(Γ), Γ uncountable. That c0(Γ) was Johnson Zippin, we prove here it that, moreover, while converse fails. We then study local structure spaces, showing particular infinite dimensional cannot contain uniformly complemented copies lnp, 1 ≤ p < ∞, ≠ 2. derive spaces such as Lp(μ), 2, C(K) not isomorphic K metric compact, subspaces c0, Gurarij space, Tsirelson Argyros-Deliyanni HI automorphic.