Serdica Math. J. 22 (1996), 25-28 ANALYTIC RENORMINGS OF C(K) SPACES
نویسندگان
چکیده
منابع مشابه
Kadec norms on spaces of continuous functions
We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the ...
متن کاملCommon Fixed Points and Invariant Approximations for Cq-commuting Generalized nonexpansive mappings
Some common fixed point theorems for Cq-commuting generalized nonexpansive mappings have been proved in metric spaces. As applications, invariant approximation results are also obtained. The results proved in the paper extend and generalize several known results including those of M. Abbas and J.K. Kim [Bull. Korean Math. Soc. 44(2007) 537-545], I. Beg, N. Shahzad and M. Iqbal [Approx. Theory A...
متن کاملOn some open problems in cone metric space over Banach algebra
In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, Fixed point theorems in cone metric spaces with Banach algebra cones, Int. J. of Math. Sci. ...
متن کاملComputer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity
This work treats a functional analytic framework for computer assisted Fourier analysis which can be used to obtain mathematically rigorous error bounds on numerical approximations of solutions of differential equations. An abstract a-posteriori theorem is employed in order to obtain existence and regularity results for C problems with 0 < k ≤ ∞ or k = ω. The main tools are certain infinite seq...
متن کاملAnalytic Norms in Orlicz Spaces
It is shown that an Orlicz sequence space hM admits an equivalent analytic renorming if and only if it is either isomorphic to l2n or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent C∞-Fréchet norm, but no equivalent analytic norm. In this note, we denote by hM as usual the subspace of an Orlicz sequence space lM generated ...
متن کامل