Strictly diagonal holomorphic functions on Banach spaces
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 2
Abstract
In this paper we investigate the boundedness of holomorphic functionals on a Banach space with a normalized basis {en} which have a very special form f(x)=f(0)+∑∞n=1cnxnn and which we call strictly diagonal. We consider under which conditions strictly diagonal functions are entire and uniformly continuous on every ball of a fixed radius.
Authors and Affiliations
O. I. Fedak, A. V. Zagorodnyuk
Keywords
Related Articles
- EP ID EP542031
- DOI 10.15330/cmp.7.2.254-258
- Views 57
- Downloads 0
On generalized complex space forms satisfying certain curvature conditions
We study Ricci soliton $(g,V,\lambda)$ of generalized complex space forms when the Riemannian, Bochner and $W_2$ curvature tensors satisfy certain curvature conditions like semi-symmetric, Einstein semi-symmetric, Ricci...
Boundary problem for the singular heat equation
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation $$ a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x...
On the dimension of vertex labeling of k-uniform dcsl of k-uniform caterpillar
A distance compatible set labeling (dcsl) of a connected graph $G$ is an injective set assignment $f : V(G) \rightarrow 2^{X},$ $X$ being a nonempty ground set, such that the corresponding induced function $f^{\oplus} :E...
Generalized types of the growth of Dirichlet series
Let A∈(−∞,+∞] and Φ be a continuously on [σ0,A) function such that Φ(σ)→+∞ as σ→A−0. We establish a necessary and sufficient condition on a nonnegative sequence λ=(λn), increasing to +∞, under which the equality ¯¯¯¯¯¯¯¯...
Analogues of Whittker's theorem for Laplace-Stieltjes integrals
For the maximum of the integrand of Laplace-Stieltjes integral the lower estimates on sequence are found. Using the estimates we obtained analogues of Whittaker's theorem for entire functions given by lacunary power seri...