Let X, Y be asymmetric normed spaces and Lc(X, Y ) the convex cone of all linear continuous operators from X to Y . It is known that in general, Lc(X, Y ) is not a vector space. The aim of this note is to give, using ...

The paper deals with operators on Norm Hilbert spaces over a Krull valued field K. By using carefully selected equivalent norms (i) the perturbation theory of Fredholm operators (see Ochsenius and Schikhof (2010) [7]) is ...

We present some properties of orthogonality and relate them with support disjoint and norm inequalities in-Schatten ideals. In addition, we investigate the problem of characterization of norm-parallelism for bounded linear ...

The theory of X-normed spaces over non-Archimedean valued fields with valuations of higher rank was introduced by H. Ochsenius and W. H. Schikhof in [1] and further developed in [2–4, 6, 7] and [5]. In order to obtain ...

We characterize the sets of norm one vectors x1, ..., xk in a Hilbert space H such that there exists a k-linear symmetric form attaining its norm at (x1, ..., xk). We prove that in the bilinear case, any two vectors satisfy ...

For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(µ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily ...

En el capítulo I presentamos el 'Teorema de convexidad de Riesz-Thorin' y diferentes aplicaciones. Y concluimos con el 'Teorema de interpolación de Riesz-Stein'. En el capítulo II, hacemos un breve estudio de 'operadores ...

The continuous computational power growth in the last decades has made solving several optimization problems significant to humankind a tractable task; however, tackling some of them remains a challenge due to the overwhelming ...