The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces ℓp,1<∞. For each pair 1<∞ the (p, q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which of these multipliers is a compact operator. Moreover, for the case of p=q a complete description is presented of those (p, p)-multiplier operators which are mean (resp. uniform mean) ergodic. A study is also made of the linear operator C which maps a numerical sequence to the sequence of its averages. All pairs 1<∞ are identified for which C maps ces(p) into ces(q) and, amongst this collection, those which are compact. For p=q, the mean ergodic properties of C are also treated.

Multiplier and averaging operators in the Banach spaces $ces(p)$, $1

A. A. Albanese
Membro del Collaboration Group
;
2019-01-01

Abstract

The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces ℓp,1<∞. For each pair 1<∞ the (p, q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which of these multipliers is a compact operator. Moreover, for the case of p=q a complete description is presented of those (p, p)-multiplier operators which are mean (resp. uniform mean) ergodic. A study is also made of the linear operator C which maps a numerical sequence to the sequence of its averages. All pairs 1<∞ are identified for which C maps ces(p) into ces(q) and, amongst this collection, those which are compact. For p=q, the mean ergodic properties of C are also treated.
File in questo prodotto:
File Dimensione Formato  
Albanese_Bonet_Ricket_cesp_new.pdf

accesso aperto

Tipologia: Post-print referato (Refereed author’s manuscript)
Licenza: Creative commons
Dimensione 286.55 kB
Formato Adobe PDF
286.55 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/428237
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 10
social impact