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A contracting homotopy for the minimal projective resolution of a path algebra with monomial relations over its enveloping algebra is constructed.
Given a pair of compact Hausdorff spaces X and Y , this article centers around the approximation of arbitrary continuous linear mappings from C ( X ) into C ( Y ) by weighted composition operators. Optimal results are obtained for compact operators and also for positive weakly compact operators.
A topological space X is said to be submaximal if every dense subset of X is open. In this paper, descriptions of submaximal spectral spaces and Stone submaximal spaces are given. Throughout this paper a number of illustrative examples are given.
A Banach space operator T ∈ B ( χ ) is polaroid (left polaroid) if isolated points of the spectrum (resp. isolated points λ of the approximate point spectrum) of T are poles of the resolvent of T (resp. are such that ( T − λ I ) has finite ascent ≤ d and ( T − λ I ) d+1 χ is closed). Necessary...
It is conjectured that if G is a finite non-cyclic p -group of order greater than p 2 , then | G | divides |Aut( G )|. In this paper we characterize the finite non-abelian p -groups G with cyclic Frattini subgroup for which |Aut( G )| p = | G |.
We first use linearizations of continuous semigroups of holomorphic mappings to study asymptotic representations of star-like l -analytic functions defined on the open unit ball of a J *-algebra and then apply these representations to obtain a distortion theorem for such functions. We also...
The space of all closed curves in Euclidean 3-space constitutes a Banach manifold. The existence of parallel mates to a given closed space curve depends on its total normal twist α. As a submanifold we consider the space of curves which has total normal twist an integer multiple of 2π. Also...
In this note we describe the group of automorphisms of a finite semidirect product G = HK that fix the normal subgroup H of G as a set. In particular if H is a characteristic subgroup of G , this group will give the full automorphism group of G .
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