نتایج جستجو برای: Operator-valued tensors
تعداد نتایج: 137126 فیلتر نتایج به سال:
In this paper we try to extend geometric concepts in the context of operator valued tensors. To this end, we aim to replace the field of scalars $ mathbb{R} $ by self-adjoint elements of a commutative $ C^star $-algebra, and reach an appropriate generalization of geometrical concepts on manifolds. First, we put forward the concept of operator-valued tensors and extend semi-Riemannian...
in this paper we try to extend geometric concepts in the context of operator valued tensors. to this end, we aim to replace the field of scalars $ mathbb{r} $ by self-adjoint elements of a commutative $ c^star $-algebra, and reach an appropriate generalization of geometrical concepts on manifolds. first, we put forward the concept of operator-valued tensors and extend semi-riemannian...
in this article, we have focused one some basic and productive information about the properties of spectrum and singular values related to compact operators which are ideals in a c*-algebra of bounded operators. considering a two-sided connection between the family of symmetric gauge functions on sequence of singular values of compact operators and symmetric norms on finite dimensional ope...
Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.
let $v$ be an $n$-dimensional complex inner product space. suppose $h$ is a subgroup of the symmetric group of degree $m$, and $chi :hrightarrow mathbb{c} $ is an irreducible character (not necessarily linear). denote by $v_{chi}(h)$ the symmetry class of tensors associated with $h$ and $chi$. let $k(t)in (v_{chi}(h))$ be the operator induced by $tin text{end}(v)$. the...
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
let $x,y$ be normed spaces with $l(x,y)$ the space of continuous linear operators from $x$ into $y$. if ${t_{j}}$ is a sequence in $l(x,y)$, the (bounded) multiplier space for the series $sum t_{j}$ is defined to be [ m^{infty}(sum t_{j})={{x_{j}}in l^{infty}(x):sum_{j=1}^{infty}% t_{j}x_{j}text{ }converges} ] and the summing operator $s:m^{infty}(sum t_{j})rightarrow y$ associat...
we establish a sharp maximal function estimate for some vector-valued multilinear singular integral operators. as an application, we obtain the $(l^p, l^q)$-norm inequality for vector-valued multilinear operators.
In the signal-processing literature, a frame is mechanism for performing analysis and reconstruction in Hilbert space. By contrast, quantum theory, positive operator-valued measure (POVM) decomposes Hilbert-space vector purpose of computing measurement probabilities. Frames their most common generalizations can be seen to give rise POVMs, but does every reasonable POVM arise from type frame? We...
Fabric tensor has proved to be an effective tool statistically characterizing directional data in a smooth and frame-indifferent form. Directional data arising from microscopic physics and mechanics can be summed up as tensor-valued orientation distribution functions ODFs . Two characterizations of the tensor-valued ODFs are proposed, using the asymmetric and symmetric fabric tensors respective...
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