Algebraic genericity and summability within the non-Archimedean setting

Abstract In this paper, we establish the analogue of some recent lineability and algebrability results on the sets of sequences and series within the context of p-adic analysis. More specifically, we prove (among several other results) that: (i) in the space of all p-adic sequences, the set of all c...
Ausführliche Beschreibung

Gespeichert in:
Autor*in:

Khodabandehlou, J. [verfasserIn]

Maghsoudi, S. [verfasserIn]

Seoane-Sepúlveda, J. B. [verfasserIn]

Format:

E-Artikel

Sprache:

Englisch

Erschienen:

2020

Schlagwörter:

-adic numbers

Lineability

Non-absolutely convergent

-adic series

-adic sequences

Algebrability

Cesàro’s theorem

Ratio and root tests

Übergeordnetes Werk:

Enthalten in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales - Heidelberg [u.a.] : Springer, 2001, 115(2020), 1 vom: 10. Nov.

Übergeordnetes Werk:

volume:115 ; year:2020 ; number:1 ; day:10 ; month:11

Links:

Volltext

DOI / URN:

10.1007/s13398-020-00961-w

Katalog-ID:

SPR041909437

Nicht das Richtige dabei?

Schreiben Sie uns!