In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hilbert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.

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There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf Keywords:} multiplic...

In this paper we are interested in the saliency of visual content from wearable cameras. The subjective saliency in wearable video is studied first due to the psycho-visual experience on this content. Then the method for objective saliency map computation with a specific contribution based on geometrical saliency is proposed. Fusion of spatial, temporal and geometric cues in an objective salien...

Abstract We prove a random Ruelle–Perron–Frobenius theorem and the existence of relative equilibrium states for class open closed interval maps, without imposing transitivity requirements, such as mixing covering conditions, which are prevalent in literature. This provides uniqueness conformal invariant measures with exponential decay correlations, allows us to expand examples (random) dynamica...

Given a Lie groupoid G over a manifold M , we show that multiplicative 2forms on G relatively closed with respect to a closed 3-form φ on M correspond to maps from the Lie algebroid of G into T ∗M satisfying an algebraic condition and a differential condition with respect to the φ-twisted Courant bracket. This correspondence describes, as a special case, the global objects associated to φ-twist...

We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem fields spaces is proved and applied to linear SDDEs. In Part II this article, we use our results prove stable manifold theorem for non-linear

In this paper, we investigate multiplicative properties of the classical Dold–Kan correspondence. The inverse of the normalization functor maps commutative differential graded algebras to E∞algebras. We prove that it in fact sends algebras over arbitrary differential graded E∞-operads to E∞-algebras in simplicial modules and is part of a Quillen adjunction. More generally, this inverse maps hom...

A generalised Paley map is a Cayley map for the additive group of a finite field F , with a subgroup S = −S of the multiplicative group as generating set, cyclically ordered by powers of a generator of S. We characterise these as the orientably regular maps with orientation-preserving automorphism group acting primitively and faithfully on the vertices; allowing a non-faithful primitive action ...