Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Dykema, Ken"'
Autor:
Dykema, Ken, Griffin, John
In the context of operator valued W*-free probability theory, we study Haar unitaries, R-diagonal elements and circular elements. Several classes of Haar unitaries are differentiated from each other. The term bipolar decomposition is used for the exp
Externí odkaz:
http://arxiv.org/abs/2306.17133
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. Several examples are considered.
Externí odkaz:
http://arxiv.org/abs/2305.07987
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2024 531(1) Part 1
Given a DT-operator $Z$ whose Brown measure is radially symmetric and has a certain concentration property, it is shown that $Z$ is not spectral in the sense of Dunford. This is accomplished by showing that the angles between certain complementary Ha
Externí odkaz:
http://arxiv.org/abs/2012.00903
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 spectrality of operators. In particular, we show that an operator can be
Externí odkaz:
http://arxiv.org/abs/1907.10685
We study Schur-type upper triangular forms for elements, T, of von Neumann algebras equipped with faithful, normal, tracial states. These were introduced in a paper of Dykema, Sukochev and Zanin; they are based on Haagerup-Schultz projections. We inv
Externí odkaz:
http://arxiv.org/abs/1709.06034
We prove that the set of quantum correlations for a bipartite system of 5 inputs and 2 outputs is not closed. Our proof relies on computing the correlation functions of a graph, which is a concept that we introduce.
Comment: Version 3: 17 pages.
Comment: Version 3: 17 pages.
Externí odkaz:
http://arxiv.org/abs/1709.05032
We introduce a game related to the $I_{3322}$ game and analyze a constrained value function for this game over various families of synchronous quantum probability densities.
Comment: 17 pages, 2 figures; Some references added. Minor typos fixed
Comment: 17 pages, 2 figures; Some references added. Minor typos fixed
Externí odkaz:
http://arxiv.org/abs/1707.06186
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.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1706.03465
The joint Brown measure and joint Haagerup--Schultz projections for tuples of commuting operators in a von Neumann algebra equipped with a faithful tracial state are investigated, and several natural properties are proved for these. It is shown that
Externí odkaz:
http://arxiv.org/abs/1703.05695