Work

Matrix transforms into the speed-Maddox spaces over ultrametric fields

Year: 2025

Type: article

Abstract: Let K be a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K. In this paper are defined the notions of speed-Maddox spaces over K, where the speed is defined by a sequence μ = {μn} in K with the property 0 < |μn| ↗ ∞, n → ∞. Let λ be another speed in K. The necessary and sufficient conditions for a matrix A would transform all sequences that are λ-convergent to zero over K into the speed-Maddox spaces over K, where the speed is defined by μ.

Source: Annals of the Alexandru Ioan Cuza University - Mathematics

DOI: 10.47743/anstim.2025.00006

Authors: P.N. Natarajan, Ants Aasma

Institutions: Ramakrishna Mission Vivekananda College, Tallinn University of Technology

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411251899

FWCI: 0.871

Cites: 8

Cited by: 1

Related to: 10