12 citations · 42 across the 26 of their papers we have counts for
29 papers
The SHAI property for the operators on L^p
William B. Johnson, N. Christopher Phillips, Gideon Schechtman
A Banach space X has the SHAI (surjective homomorphisms are injective) property provided that for every Banach space Y, every continuous surjective algebra homomorphism from the bo…
The number of closed ideals in
William B. Johnson, Gideon Schechtman
We show that there are different closed ideals in the Banach algebra , . This solves a problem in A. Pietsch's 1978 book "Operato…
Embedding Banach spaces into the space of bounded functions with countable support
William B. Johnson, Tomasz Kania
We prove that a WLD subspace of the space consisting of all bounded, countably supported functions on a set embeds isomorphically into if and o…
A Schauder basis for consisting of non-negative functions
William B. Johnson, Gideon Schechtman
We construct a Schauder basis for consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in , $1\l…
Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support
William B. Johnson, Tomasz Kania, Gideon Schechtman
Let be an infinite cardinal number and let denote the subspace of consisting of all functions that assume at most countably many non-zero va…
The cluster value problem for Banach spaces
William B. Johnson, Sofia Ortega Castillo
The main result is that the cluster value problem in separable Banach spaces, for the Banach algebras and , can be reduced to the cluster value problem in those s…