4 papers
On the SHAI property of the Bourgain-Rosenthal-Schechtman spaces
Konstantinos Konstantos
A Banach space has the SHAI property if, for every non-zero Banach space , every surjective algebra homomorphism from the algebra of bounded linear operator…
Coordinate systems and distributional embeddings in Bourgain-Rosenthal-Schechtman spaces: a framework for operator reduction
Konstantinos Konstantos, Pavlos Motakis
For every , we construct an explicit unconditional finite-dimensional decomposition (FDD) of the Bourgain-Rosenthal-Schechtman space $…
Factorization in independent sums of Haar system Hardy spaces
Konstantinos Konstantos, Thomas Speckhofer
We introduce a generalization of the Bourgain-Rosenthal-Schechtman space: Let be a Haar system Hardy space, i.e., a separable rearrangement-invariant function space on…
Orthogonal Factors of Operators on the Rosenthal spaces and the Bourgain-Rosenthal-Schechtman space
Konstantinos Konstantos, Pavlos Motakis
For , we show that the Rosenthal spaces and the Bourgain-Rosenthal-Schechtman space have the factorization property and the primary factorization…