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9 papers · 1 filter
Maximal vectors in Hilbert space and quantum entanglement
William Arveson
Let be a norm-closed subset of the unit sphere of a Hilbert space that is stable under multiplication by scalars of absolute value 1. A {\em maximal vector} (for ) is a…
Positive eigenvalues and two-letter generalized words
Christopher Hillar, Charles R. Johnson, Ilya M. Spitkovsky
A generalized word in two letters and is an expression of the form in which the exponents , are nonzero real n…
Quotients of Standard Hilbert Modules
William Arveson
We initiate a study of Hilbert modules over the polynomial algebra A=C[z_1,...,z_d] that are obtained by completing A with respect to an inner product having certain natural proper…
Free extreme values
Gerard Ben Arous, Dan Virgil Voiculescu
Free probability analogs of the basics of extreme-value theory are obtained, based on Ando's spectral order. This includes classification of freely max-stable laws and their domain…
Intermediate Subfactors with No Extra Structure
Pinhas Grossman, Vaughan F. R. Jones
If are type II_1 factors with and finite we show that restrictions on the standard invariants of the elementary inclusions $N \…
Intersections of finite families of finite index subfactors
Vaughan F. R. Jones, Feng Xu
We prove that finiteness of the index of the intersection of a finite set of finite index subalgebras in a von Neumann algebra (with small centre) is equivalent to the finite dimen…