We consider contractive homomorphisms of a planar algebra A(Ω) over a finitely connected bounded domain Ω ⊆ C and ask if they are necessarily completely contractive. We show that a homomorphism ρ : A(Ω) → B(H) for which dim(A(Ω)/ ker ρ) = 2 is the direct integral of homomorphisms ρT induced by operators on two dimensional Hilbert spaces via a suitable functional calculus ρT : f 7→ f(T ), f ∈ A(...

We describe the specialization to max-plus algebra of Howard’s policy improvement scheme, which yields an algorithm to compute the solutions of spectral problems in the max-plus semiring. Experimentally, the algorithm shows a remarkable (almost linear) average execution time. Résumé: Nous spécialisons à l’algèbre max-plus l’itération sur les politiques de Howard, qui fournit un algorithme pour ...

Introduction. Let K be a simple ring with identity and let A be a harmonic ^-algebra with identity, where neither K nor A is assumed to be commutative. If one denotes the set of maximal ideals in A by Max(^4), then A is strongly semisimple iff S(A) = C\MGMBX(A) M = (0). We assume that A is strongly semisimple and note that this implies that A is Jacobson semisimple. One may equip Max(.4) with t...

A microspectrophotometric survey conducted on the retinal photoreceptors of the domestic turkey (Meleagris gallopavo) revealed the presence of five different types of vitamin A1-based visual pigment (rhodopsin) in seven different types of photoreceptor. A single class of rod contained a medium wavelength-sensitive visual pigment (wavelength of maximum absorbance, lambda max, 504 nm). Four diffe...

The Random Projection Tree (RPTREE) structures proposed in [1] are space partitioning data structures that automatically adapt to various notions of intrinsic dimensionality of data. We prove new results for both the RPTREE-MAX and the RPTREE-MEAN data structures. Our result for RPTREE-MAX gives a nearoptimal bound on the number of levels required by this data structure to reduce the size of it...

I consider some of the claims that have been made for and against the nature of the INPUT in OT syntax as developed within the assumptions of the Minimalist Program, leading to suggestions for further specification of the architecture of this approach. Comparing with the role of faithfulness in the OT approach developed from Lexical-Functional Grammar, I argue that specific linguistic analyses ...

Recently, a max-plus dual space fundamental solution for a class of difference Riccati equations (DREs) has been developed. This fundamental solution is represented in terms of the kernel of a specific max-plus linear operator that plays the role of the dynamic programming evolution operator in a max-plus dual space. In order to fully understand connections between this dual space fundamental s...

We extend the applicability of idempotent methods to deterministic dynamic games through the min-max distributive property. This induces a very high curse-of-complexity. A representation of the space of max-plus hypo-convex functions as a min-max linear space is used to obtain a method for attenuating this complexity growth. This is applied in a game of search and deception. The problem is form...

the northwestern part of the kerman cenozoic magmatic arc (kcma) contains many areas with porphyry copper mineralization. in this research, we used the advanced space-borne thermal emission and reflection radiometer (aster) and enhanced thematic mapper plus (etm+) images of this region to map the distribution of hydrothermally altered rocks, based on their mineral assemblages. the spectral meas...

Microspectrophotometry (MSP) revealed that surprisingly for a "fully marine" species, in summer, photoreceptors of the nearshore scorpaeniform fish known as the masked greenling, Hexagrammos octogrammus, contained exclusively, or presumably, porphyropsin with a small admixture of rhodopsin. As a result of this, the lambda(max) of the spectral sensitivity of the photoreceptors were significantly...