Characterization of singular numbers of products of operators in matrix algebras and finite von Neumann algebras Academic Article

abstract

• 2014 Elsevier Masson SAS. We characterize in terms of inequalities the possible generalized singular numbers of a product AB of operators A and B having given generalized singular numbers, in an arbitrary finite von Neumann algebra. We also solve the analogous problem in matrix algebras Mn(C), which seems to be new insofar as we do not require A and B to be invertible.

authors

• Dykema, Kenneth

published proceedings

• BULLETIN DES SCIENCES MATHEMATIQUES

altmetric score

• 0.25

author list (cited authors)

• Bercovici, H., Collins, B., Dykema, K., & Li, W. S.

citation count

• 4

complete list of authors

• Bercovici, H||Collins, B||Dykema, K||Li, WS

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Bulletin des Sciences Mathematiques  Journal

keywords

• Finite Von Neumann Algebra
• Littlewood-richardson Coefficients
• Singular Numbers

Digital Object Identifier (DOI)

• 10.1016/j.bulsci.2014.10.002

start page

• 400

end page

• 419

volume

• 139

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.bulsci.2014.10.002