Results 1 to 10 of about 131 (55)
Jensen's Operator Inequality [PDF]
, 2002 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
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INNER AMENABLE GROUPOIDS AND CENTRAL SEQUENCES
Forum of Mathematics, Sigma, 2020 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
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Lattice isomorphisms between projection lattices of von Neumann algebras
Forum of Mathematics, Sigma, 2020 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
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Gaps Between Classes of Matrix Monotone Functions [PDF]
, 2002 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
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Topological orbit dimension of MF C*-algebras and NFD algebras
, 2020 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
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A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids [PDF]
, 2008 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
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Complex Hadamard matrices of order 6: a four-parameter family [PDF]
, 2010 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
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Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 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.
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Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
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Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
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