For a Sidelnikov sequence of period pm − 1 we obtain tight lower bounds on its linear complexity L over Fp. In particular, these bounds imply that, uniformly over all p and m, L is close to its largest possible value pm − 1.

If $X$ is an almost transitive Banach space with amenable isometry group (for example, if $X=L^p([0,1])$ $1\leq p \lt \infty $) and admits a uniformly continuous map $X\overset \phi \longrightarrow E$ into $E$ satisfying $$ \inf _{

In this paper, we consider the 2D incompressible Navier-Stokes equations on torus. It is well known that for any $$L^2$$ divergence-free initial data, there exists a global smooth solution unique in class of $$C_t L^2$$ weak solutions. We show such uniqueness would fail L^p$$ if $$ p<2$$ . The non-unique solutions constructed are almost -critical sense (i) they uniformly continuous $$L^p$$ ever...

We define, for a locally compact quantum group G in the sense of Kustermans– Vaes, the space of LUC (G) of left uniformly continuous elements in L∞(G). This definition covers both the usual left uniformly continuous functions on a locally compact group and Granirer’s uniformly continuous functionals on the Fourier algebra. We show that LUC (G) is an operator system containing the C∗-algebra C0(...

* Correspondence: [email protected] Department of Mathematics Education, Kyungnam University, Masan, Kyungnam, 631-701, Korea Full list of author information is available at the end of the article Abstract We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and unifo...