Let M be a von Neumann algebra and let φ be a normal linear functional on a strongly closed C*-subalgebra N of M. Denote by Fφ the set of normal linear functionals ψ on M extending φ with |ψ| = |φ|.

Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

Research into the geometric properties of Banach spaces and metric spaces has long provided profound insights into the architecture of functional analysis and the intrinsic nature of various spatial ...