7 citations · 9 across the 4 of their papers we have counts for
4 papers
A qualitative description of graphs of discontinuous polynomial functions
J. M. Almira, Kh. F. Abu-Helaiel
We prove that, if f:R^n\to R satisfies Fréchet's functional equation and f(x_1,...,x_n) is not an ordinary algebraic polynomial in the variables x_1,...,x_n, then f is unbounded on…
On approximation schemes and compactness
A. G. Aksoy, J. M. Almira
We present an overview of some results about characterization of compactness in which the concept of approximation scheme has had a role. In particular, we present several results…
On Montel's theorem in several variables
J. M. Almira, Kh. F. Abu-Helaiel
Recently, the first author of this paper, used the structure of finite dimensional translation invariant subspaces of C(R,C) to give a new proof of classical Montel's theorem, abou…
A simple observation about compactness and fast decay of Fourier coefficients
J. M. Almira
Let be a Banach space and suppose is a Banach space compactly embedded into , and is a weakly null sequence of functionals in . Then there exists…