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20172024
most citedNilpotent elements of operator ideals as single commutators

4 citations · 12 across the 7 of their papers we have counts for

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math.OA2023

Some non-spectral DT-operators in finite von Neumann algebras, II: measures with atoms

Ken Dykema, Amudhan Krishnaswamy-Usha

Results about angles between Haagerup--Schultz projections for DT-operators whose measures have atoms are proved, which in some cases imply that such operators are non-spectral. Se…

math.OA2022

Local and multilinear noncommutative de Leeuw theorems

Martijn Caspers, Bas Janssens, Amudhan Krishnaswamy-Usha +1

Let be a discrete subgroup of a locally compact unimodular group . Let be a -multiplier on with and let $T_{m}: L_p(\widehat{G})…

math.OA2020★ 1 cited

Some non-spectral DT-operators in finite von Neumann algebras

Ken Dykema, Amudhan Krishnaswamy-Usha

Given a DT-operator whose Brown measure is radially symmetric and has a certain concentration property, it is shown that is not spectral in the sense of Dunford. This is ac…

math.OA2019★ 3 cited

Angles between Haagerup--Schultz projections and spectrality of operators

Ken Dykema, Amudhan Krishnaswamy-Usha

We investigate angles between Haagerup--Schultz projections of operators belonging to finite von Neumann algebras, in connection with a property analogous to Dunford's notion of sp…

math.OA2017★ 4 cited

Nilpotent elements of operator ideals as single commutators

Ken Dykema, Amudhan Krishnaswamy-Usha

For an arbitrary operator ideal I, every nilpotent element of I is a single commutator of operators from I^t, for an exponent t that depends on the degree of nilpotency.