Results 1 to 10 of about 116 (98)
Complexifications of real Banach spaces, polynomials and multilinear maps [PDF]
Studia Mathematica, 1999 In the first part of the paper, various procedures to obtain a norm in the complexification of a real Banach space are compared. General schemes of such procedures are introduced. In the second part, the norm of the corresponding complexification of polynomials (homogeneous and nonhomogeneous) is estimated.
Andrew Tonge
exaly +4 more sources
Polynomials and multilinear mappings in topological vector-spaces [PDF]
Studia Mathematica, 1971 Jacek Bochnak
exaly +3 more sources
Remarks on interpolation in certain linear spaces (III)
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj +4 more sources
Remarks on interpolation in certain linear spaces (IV)
Journal of Numerical Analysis and Approximation Theory, 2007 In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj +4 more sources
Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2001 Using the theory of full and symmetric tensor norms on normed spaces, a theorem of Kürsten and Heinrich on ultrastability and maximality of normed operator ideals is extended to ideals ofnn-homogeneous polynomials andnn-linear mappings—scalar-valued and vector-valued.
Floret, Klaus, Hunfeld, Stephan
openaire +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Risk Analysis, Volume 46, Issue 7, July 2026.ABSTRACT Societies worldwide face increasingly complex and interconnected crises that challenge their capacity for resilience. Assessing which structural indicators are most strongly associated with resilience scores requires quantitative methods capable of handling interdependencies, nonlinearities, and limited sample sizes.
Elias Montanari +4 more
wiley +1 more source
On the Computation of Tensor Functions under Tensor‐Tensor Multiplications with Linear Maps
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT In this paper, we study the computation of both algebraic and non‐algebraic tensor functions under the tensor‐tensor multiplication with linear maps. In the case of algebraic tensor functions, we prove that the asymptotic exponent of both the tensor‐tensor multiplication and the tensor polynomial evaluation problem under this multiplication is
Jeong‐Hoon Ju, Susana López‐Moreno
wiley +1 more source
Analysis of Models to Estimate Morbidity Rates of Respiratory Diseases Through Deep Learning
Tropical Medicine &International Health, Volume 31, Issue 6, Page 742-753, June 2026.ABSTRACT Respiratory diseases remain a challenge in Brazil due to socioeconomic inequalities and environmental risks that intensify population vulnerability. This study compared XGBoost with a deep learning model using stacked Gated Recurrent Units (GRU), trained with morbidity data from respiratory diseases and exogenous variables such as per capita ...
Liliane Moreira Nery +6 more
wiley +1 more source
On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source