Results 11 to 20 of about 514,330 (88)
Dilation theory for rank two graph algebras. [PDF]
An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian +2 more
core +4 more sources
A primer on exterior differential calculus [PDF]
A pedagogical application-oriented introduction to the calculus of exterior differential forms on differential manifolds is presented. Stokes' theorem, the Lie derivative, linear connections and their curvature, torsion and non-metricity are discussed.
Burton D.A. +2 more
core +6 more sources
Spline- and tensor-based signal reconstruction : from structure analysis to high-performance algorithms to multiplatform implementations and medical applications [PDF]
The problem of signal reconstruction is of fundamental practical value for many applications associated with the field of signal and image processing.
Morozov, Oleksii
core +1 more source
The Tensor Algebra Compiler [PDF]
Tensor and linear algebra is pervasive in data analytics and the physical sciences. Often the tensors, matrices or even vectors are sparse. Computing expressions involving a mix of sparse and dense tensors, matrices and vectors requires writing kernels ...
Kjolstad, Fredrik +9 more
core +1 more source
Traced tensor norms and multiple summing multilinear operators [PDF]
[EN] Using a general tensor norm approach, our aim is to show that some distinguished classes of summing operators can be characterized by means of an 'order reduction' procedure for multiple summing multilinear operators, which becomes the keystone of ...
Tallab, A. +2 more
core +1 more source
Invariant tensors for the spin representation of $\frak{so}$(7) [PDF]
We give a graphical calculus for the invariant tensors of the eight dimensional spin representation of the quantum group Uq(B3). This leads to a finite confluent presentation of the centraliser algebras of the tensor powers of this representation and a ...
Westbury, Bruce W.
core +1 more source
A Verified Algebra for Linked Data
A foundation is investigated for the application of loosely structured data on the Web. This area is often referred to as Linked Data, due to the use of URIs in data to establish links.
Ross Horne +3 more
core +2 more sources
Factorization of multilinear operators defined on products of function spaces
This paper deals with multilinear operators acting in products of Banach spaces that factor through a canonical mapping. We prove some factorization theorems and characterizations by means of norm inequalities for multilinear operators defined on the n ...
ERDOĞAN, EZGİ
core +1 more source
Heisenberg-Lie commutation relations in Banach algebras. [PDF]
Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific ...
Laustsen, Niels Jakob +1 more
core +4 more sources
Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley +1 more source

