A construction of a Banach space C(K) with few operators

By Grzegorz Plebanek. 2004

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6737d225ecc1015b8cc82d06ca8b950ccf6b0fd0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Wieslaw Kubis
2. Piotr Koszmider

In Geometry and Topology

1. Piotr Koszmider
2. Wieslaw Kubis

In Mathematical Physics

1. Wieslaw Kubis
2. Piotr Koszmider

Citations in the corpus

• Banach spaces with projectional skeletons (2008, background): “There even exist (necessarily, non-separable) C(K) spaces with no nontrivial bounded projections (Koszmider [21] and Plebanek [33]).”
• Banach spaces of continuous functions with few operators (2004, background): “CH can be removed from these simpler arguments by working, unlike we below, with certain nonseparable K’s as shown in [ Pl ].”