Stabilizing isomorphisms from l p ( l 2 ) into L p [ 0 , 1 ]
نویسندگان
چکیده
Let 1 < p ̸= 2 < ∞, ε > 0 and let T : lp(l2) into → Lp[0, 1] be an isomorphism Then there is a subspace Y ⊂ lp(l2), (1 + ε)-isomorphic to lp(l2), such that: T|Y is an (1+ ε)-isomorphism and T (Y ) is Kp-complemented in Lp [0, 1], with Kp depending only on p. Moreover, Kp ≤ (1 + ε)γp if p > 2 and Kp ≤ (1 + ε)γp/(p−1) if 1 < p < 2, where γr is the Lr norm of a standard Gaussian variable.
منابع مشابه
2 2 Fe b 20 08 ISOMORPHISMS BETWEEN LEAVITT ALGEBRAS AND THEIR MATRIX RINGS
Let K be any field, let L n denote the Leavitt algebra of type (1, n − 1) having coefficients in K, and let M d (L n) denote the ring of d × d matrices over L n. In our main result, we show that M d (L n) ∼ = L n if and only if d and n − 1 are coprime. We use this isomorphism to answer a question posed in [14] regarding isomorphisms between various C*-algebras. Furthermore, our result demonstra...
متن کامل2 00 6 Isomorphisms between Leavitt Algebras and Their Matrix Rings
Let K be any field, let L n denote the Leavitt algebra of type (1, n − 1) having coefficients in K, and let M d (L n) denote the ring of d × d matrices over L n. In our main result, we show that M d (L n) ∼ = L n if and only if d and n − 1 are coprime. We use this isomorphism to answer a question posed in [14] regarding isomorphisms between various C*-algebras. Furthermore, our result demonstra...
متن کاملÉtale ^-theory and Arithmetic
REMARK . The requirement that / be an odd prime can be dropped if K is totally imaginary. The groups on the right of (1.1) are continuous /-adic étale cohomology groups. Recall that Z//(l) denotes the sheaf of ^th roots of unity, Z/P(i) = (Z//(l))®, and Z,(0 = Hmv Z/l (i). D. Quillen has conjectured the existence of isomorphisms of type (1.1). B. Harris and G. Segal [4] have shown that (1.1) is...
متن کاملFactorizations of Invertible Operators and K-theory of C-algebras
Let A be a unital C*-algebra. We describe K-skeleton factorizations of all invertible operators on a Hilbert C*-module HA, in particular on H = l 2, with the Fredholm index as an invariant. We then outline the isomorphisms K0(A) ∼= π2k([p]0) ∼= π2k(GL p r(A)) and K1(A) ∼= π2k+1([p]0) ∼= π2k+1(GL p r(A)) for k ≥ 0, where [p]0 denotes the class of all compact perturbations of a projection p in th...
متن کاملA Proof of the Bochner-riesz Conjecture
For f ∈ S(R), we consider the Bochner-Riesz operator R of index δ > 0 defined by R̂δf(ξ) = (1− |ξ|)+ f̂(ξ). Then we prove the Bochner-Riesz conjecture which states that if δ > max{d|1/p − 1/2| − 1/2, 0} and p > 1 then R is a bounded operator from L(R) into L(R); moreover, if δ(p) = d(1/p − 1/2) − 1/2 and 1 < p < 2d/(d + 1), then Rδ(p) is a bounded operator from L(R) into L(R).
متن کامل