The history of a general criterium on spaceability

• Autorzy: Víctor M. Sánchez
• Języki publikacji: EN

Abstrakty

EN

There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F)\ I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general criterium.

Słowa kluczowe

EN

Spaceability; Operator ideal

Kategorie tematyczne

• 47L20: Operator ideals

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 252-260

Daty

wydano

2017-01-01

otrzymano

2017-01-12

zaakceptowano

2017-02-09

online

2017-03-20

Twórcy

autor

Víctor M. Sánchez

• Department of Mathematical Analysis, Faculty of Mathematics, Complutense University of Madrid, 28040 Madrid,

Identyfikatory

DOI

10.1515/math-2017-0019