Results 1 to 10 of about 601 (63)
Jensen's Operator Inequality [PDF]
Jensen's operator inequality and Jensen's trace inequality for real functions defined on an interval are established in what might be called their definitive versions.
Frank Hansen, G. Pedersen
semanticscholar +1 more source
INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES
We introduce inner amenability for discrete probability-measure-preserving (p.m.p.) groupoids and investigate its basic properties, examples, and the connection with central sequences in the full group of the groupoid or central sequences in the von ...
YOSHIKATA KIDA, ROBIN TUCKER-DROB
doaj +1 more source
Lattice isomorphisms between projection lattices of von Neumann algebras
Generalizing von Neumann’s result on type II $_1$ von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable ...
Michiya Mori
doaj +1 more source
Gaps Between Classes of Matrix Monotone Functions [PDF]
The class Pn(I) of matrix monotone functions of order n, defined on an open interval I, is considered in this paper. Explicit examples are given to prove that if I is different from the whole real line, then Pn+1(I) is a proper subset of Pn(I) for each ...
Frank Hansen, Guoxing Ji, J. Tomiyama
semanticscholar +1 more source
A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids [PDF]
Constructions of Hadamard matrices from smaller blocks is a well-known technique in the theory of real Hadamard matrices: tensoring Hadamard matrices and the classical arrays of Williamson, Ito are all procedures involving smaller order building blocks ...
Ferenc SzollHosi
semanticscholar +1 more source
Topological orbit dimension of MF C*-algebras and NFD algebras
This paper is a continuation of our work on D. Voiculescu’s topological free entropy dimension δtop (x1, . . . ,xn) for a family {x1, . . . ,xn} of elements in a unital C*-algebra.
Qihui Li +3 more
semanticscholar +1 more source
Exotic complex Hadamard matrices, and their equivalence [PDF]
In this paper we use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe--Jones and Munemasa--Watatani and offer a theoretical explanation for ...
A Munemasa +15 more
core +1 more source
Complex Hadamard matrices of order 6: a four-parameter family [PDF]
In this paper we construct a new, previously unknown four-parameter family of complex Hadamard matrices of order 6, the entries of which are described by algebraic functions of roots of various sextic polynomials.
Ferenc SzollHosi
semanticscholar +1 more source
Krein-space operators determined by free product algebras induced by primes and graphs
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
A note on normal generation and generation of groups [PDF]
In this note we study sets of normal generators of finitely presented residually $p$-finite groups. We show that if an infinite, finitely presented, residually $p$-finite group $G$ is normally generated by $g_1,\dots,g_k$ with order $n_1,\dots,n_k \in ...
Thom, Andreas
core +2 more sources

