6533b85bfe1ef96bd12bbe4a

RESEARCH PRODUCT

Incomparable Banach spaces and operator semigroups

Manuel GonzálezAntonio Martínez-abejónPietro Aiena

subject

Discrete mathematicsPure mathematicsOperator (computer programming)Approximation propertyGeneral MathematicsBanach spaceSpecial classes of semigroupsBanach manifoldFinite-rank operatorCharacterization (mathematics)C0-semigroupMathematics

description

Using the notions of total incomparability and total coincomparability of Banach spaces, we define two families of operator semigroups. We show that these semigroups are minimal, in the sense that they admit a perturbative characterization. Moreover, they allow us to characterize the corresponding incomparability classes.

https://doi.org/10.1007/pl00012459