منابع مشابه
The Smolyak Algorithm and Tensor Products of Function Spaces
The Smolyak algorithm represents one possible approach to the approximation of functions of many variables. The natural domains of de nition are given by tensor products of function spaces de ned on R or on some interval I ⊂ R. Here Besov as well as Sobolev spaces of dominating mixed smoothness come into play. They are tensor products of Besov and Sobolev spaces de ned on R.
متن کاملPath Spaces , Continuous Tensor Products
We classify all continuous tensor product systems of Hilbert spaces which are “infinitely divisible” in the sense that they have an associated logarithmic structure. These results are applied to the theory of E0-semigroups to deduce that every E0-semigroup possessing sufficiently many “decomposable” operators must be cocycle conjugate to a CCR flow. A path space is an abstraction of the set of ...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولCentralisers of spaces of symmetric tensor products and applications
We show that the centraliser of the space of n-fold symmetric injective tensors, n ≥ 2, on a real Banach space is trivial. With a geometric condition on the set of extreme points of its dual, the space of integral polynomials we obtain the same result for complex Banach spaces. We give some applications of this results to centralisers of spaces of homogeneous polynomials and complex Banach spac...
متن کاملResolvents of operators on tensor products of Euclidean spaces
We consider the operator T = m k=1 A 1k ⊗ A 2k (1 ≤ m < ∞), where A lk are n l × n l matrices (k = 1,. .. , m; l = 1, 2), ⊗ means the tensor product. Norm estimates for the resolvent of that operator are derived. By these estimates, we obtain bounds for a solution X of the equation m k=1 A 1k X A 2k = C and explore perturbations of that equation. The norm estimates for the resolvent of T enable...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1976
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1976-14144-4