8 citations · 21 across the 27 of their papers we have counts for
4 papers · 1 filter
Logarithmic submajorisation and order-preserving linear isometries
Jinghao Huang, Fedor Sukochev, Dmitriy Zanin
Let and be symmetrically -normed (in particular, quasi-normed) operator spaces affiliated with semifinite von Neumann algebras and $\…
Noncommutative Geometry for Symmetric Non-Self-Adjoint Operators
Alain Connes, Galina Levitina, Edward McDonald +2
We introduce the notion of a pre-spectral triple, which is a generalisation of a spectral triple where is no longer required to be self-adjoint, but close…
A -algebraic approach to the principal symbol II
Fedor Sukochev, Edward McDonald, Dmitriy Zanin
We introduce an abstract theory of the principal symbol mapping for pseudodifferential operators extending the results of a preceding paper and providing a simple algebraic approac…
The Connes character formula for locally compact spectral triples
Fedor Sukochev, Dmitriy Zanin
A fundamental tool in noncommutative geometry is Connes' character formula. This formula is used in an essential way in the applications of noncommutative geometry to index theory…