We show that the quadratic matrix equation VW + η(W )W = I, for given V with positive real part and given analytic mapping η with some positivity preserving properties, has exactly one solution W with positive real part. Also we provide and compare numerical algorithms based on the iteration underlying our proofs. This work bears on operator-valued free probability theory, in particular on the ...

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A Domain of Positivity D is an open convex cone associated with a nonsingular symmetric matrix S, called the characteristic, such that xÇzD if and only if x'Sy>0 for all y(~D* As such they were introduced by Koecher (1) in generalization of the cone of positive definite matrices studied by Siegel. The automorphisms of D are the nonsingular linear transformations mapping D onto itself. The group...

In this paper, we determine some stability results concerning the 2-dimensional vector variable quadratic functional equation f(x+ y, z + w) + f(x − y, z − w) = 2f(x, z) + 2f(y, w) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the 2-dimensional vector variable quadratic mappings and prove that the existence of a solution for any approximately 2-d...

In [1) DUSHNIK and MILLER prove that every countably infinite linear oder has a non-trivial se]f-embedding. The first part of their argument considers linear orders with an interval of type w orw*. Mapping x to its immediate successor (resp. predecessor) if x is in this interval and the interval is of type w (resp. w*), and to itself otherwise, produces the required non-trivial se]f-embedding. ...

BACKGROUND The chromosome characteristics of the butterfly Bicyclus anynana, have received little attention, despite the scientific importance of this species. This study presents the characterization of chromosomes in this species by means of cytogenetic analysis and linkage mapping. METHODOLOGY/PRINCIPAL FINDINGS Physical genomic features in the butterfly B. anynana were examined by karyoty...

s: 1. Chang W, Sarpal D, Herman M, Kohn PD, Berman KF. Sex Differences in Neural Activation during Working Memory in Patients with Schizophrenia. Organization for Human Brain Mapping, Toronto, Canada, June 12-16, 2005, NeuroImage 26:S31. 2. Kohn PD, Meyer-Lindenberg A, Koch P, Olsen R, Furman D, Kippenhan JS, Chang W, Buchsbaum BR, Sarpal D, Berman KF. Processing of spoken language under natura...