In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to algebraic topological properties these spaces. also show that are complete paranormed Further, inclusion relations between interesting examples established. Finally, prove results on modified complex Banach Algebra in third section paper.

recombinant protein production in e. coli has several advantages over other expression systems. misfolding, inclusion body formation, and lack of eukaryotic post translational modification are the most disadvantages of this system. exporting of correctly folded proteins to the outside of reductive cytoplasmic environment through twin-arginine system could help to pass these limiting steps. two ...

We focus on the behavior of solutions of the difference equation xn b1xn−1 b2xn−2 · · · bnx0 yn, n 1, 2, . . ., where bk is a fixed sequence of complex numbers, and yk is a fixed sequence in a complex Banach space. We give the general solution of this difference equation. To examine the asymptotic behavior of solutions, we compute the spectra of operators which correspond to such type of differ...

Let (Ω,A, μ) be a Lebesgue space and T : Ω → Ω an ergodic measure preserving automorphism with positive entropy. We show that there is a bounded and strictly stationary martingale difference sequence defined on Ω with a common non-degenerate lattice distribution satisfying the central limit theorem with an arbitrarily slow rate of convergence and not satisfying the local limit theorem. A simila...