A signi? cant sector of the development of spectral theory outside the classical area of
Hilbert space may be found amongst at multipliers de? ned on a complex commutative …

It is no exaggeration to say that the theory of separably injective spaces is quite different
from that of injective spaces. In this chapter we will explain why. Indeed, we will enter now in …

Page 1 BIRKHAUSER Operator Theory Advances and Applications Vol. 194 Tauberian
Operators Manuel González Antonio Martínez-Abejón Page 2 BIRKHAUSER Page 3 Operator …

We deal with two weak forms of injectivity which turn out to have a rich structure behind:
separable injectivity and universal separable injectivity. We show several structural and …

We give a negative answer to the perturbation classes problem: the perturbation class of the
upper semi-Fredholm operators contains properly the strictly singular operators, and the …

We give several characterizations of the improjective operators, introduced by Tarafdar, and
we characterize the inessential operators among the improjective operators. It is an …

MAXIMAL IDEALS IN THE ALGEBRA OF OPERATORS ON CERTAIN BANACH SPACES
Page 1 Proceedings of the Edinburgh Mathematical Society (2002) 45, 523–546 c DOI:10.1017/S0013091500001097 …

We study problems of maximal symmetry in Banach spaces. This is done by providing an
analysis of the structure of small subgroups of the general linear group GL (X), where X is a …

We give some new characterisations of the class I (E, F) of all inessential operators from a
Banach space E into a Banach space F. Moreover, we prove that if one of the spaces E or F …

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