Residual trace of Toeplitz or pseudodifferential projectors
type: Item
instance of: scholarly article
title: Residual trace of Toeplitz or pseudodifferential projectors
zbMATH Open document ID: 1362.58013
author: Louis Boutet de Monvel
published in: Letters in Mathematical Physics
publication date: 2017-01-26T00:00:00Z
review text: The author reviews old and recent results concerning the so-called noncommutative residue, introduced by \textit{M. Wodzicki} [K-theory, arithmetic and geometry, Semin., Moscow Univ. 1984--86, Lect. Notes Math. 1289, 320--399 (1987; Zbl 0649.58033)]. New results are also presented, about projectors \(P\) with coefficients in a Toeplitz algebra of a contact manifold: if the degree of \(P\) is \(0\), then the noncommutative residue vanishes, whereas, as shown by a counterexample, this result is not necessarily true for projectors of degree \(\neq 0\).
reviewed by: Luigi Rodino
Mathematics Subject Classification ID: 58J40
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47G30
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 6678208
zbMATH Keywords: Toeplitz projector
zbMATH Keywords: pseudodifferential projector
zbMATH Keywords: residual trace
MaRDI profile type: Publication
full work available at URL: s11005-016-0845-7
OpenAlex ID: W2343423468
cites work: Spectral Asymmetry and Riemannian Geometry
cites work: Spectral asymmetry and Riemannian Geometry. I
cites work: Q4111841
cites work: On the index of Toeplitz operators of several complex variables
cites work: Logarithmic trace of Toeplitz projectors
cites work: Q5455324
cites work: Q3606299
cites work: Asymptotic equivariant index of Toeplitz operators and relative index of CR structures
cites work: The Spectral Theory of Toeplitz Operators. (AM-99)
cites work: Residue traces for certain algebras of Fourier integral operators
cites work: Q4289018
cites work: Construction of boundary invariants and the logarithmic singularity of the Bergman kernel
cites work: Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains
cites work: Q3794944
cites work: Q4702586
DOI: 10.1007/S11005-016-0845-7
description: scientific article; zbMATH DE number 6678208