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Banach spaces with very few operators

Sophie Grivaux ; Maria Roginskaya (Institutionen för matematiska vetenskaper, Analys och sannolikhetsteori)
Astérisque (0303-1179). 380, p. 355-397. (2016)
[Artikel, refereegranskad vetenskaplig]

If X is a separable infinite dimensional Banach space, the only general operators which are known to exist on X are of the form I+K, where is a scalar and K is a compact operator (obtained as a limit in norm of finite rank operators). We present here a remarkable construction, due to S. Argyros and R. Haydon, of spaces on which every operator can be written as the sum of a scalar operator and a compact operator.



Denna post skapades 2016-11-02. Senast ändrad 2016-11-22.
CPL Pubid: 244642

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, Analys och sannolikhetsteoriInstitutionen för matematiska vetenskaper, Analys och sannolikhetsteori (GU)

Ämnesområden

Matematik

Chalmers infrastruktur