Banach spaces with very few operators
Journal article, 2015
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.
Author
Sophie Grivaux
University of Lille
Maria Roginskaya
Chalmers, Mathematical Sciences, Analysis and Probability Theory
University of Gothenburg
Asterisque
0303-1179 (ISSN)
Vol. 380 355-397 1099Subject Categories (SSIF 2011)
Mathematics
DOI
10.24033/ast.993