Results 11 to 20 of about 372,784 (167)

One functional operator inversion formula

Mathematical Modelling and Analysis, 2001
Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
doaj   +1 more source

Reversibility conditions for quantum channels and their applications

, 2013
A necessary condition for reversibility (sufficiency) of a quantum channel with respect to complete families of states with bounded rank is obtained. A full description (up to isometrical equivalence) of all quantum channels reversible with respect to ...
A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, A. S. Holevo, C. King, M E Shirokov, M. A. Nielsen, M. E. Shirokov, M. E. Shirokov, N. I. Akhiezer, N. I. Akhiezer   +13 more
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Vertex operator algebra with two τ-involutions generating S[3] [PDF]

, 2003
The notion of vertex operator algebras(VOAs) isintroduced in [B,FLM]. The most interesting example of vertex operator algebras is the Moonshine VOA V ...Thesis (Ph. D. in Mathematics)--University of Tsukuba, (A), no.
Sakuma Shinya, 佐久間 伸也
core  

A Unified Algebraic Approach to Classical Yang-Baxter Equation

, 2007
In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method.
Bakalov B, Balinskii A A, Chapoton F, Chari V, Chengming Bai, Diatta A Medina A, Drinfel'd V, Etingof P, Faddeev L D, Faddeev L D, Jacobson N, Kaneyuki S, Kim H, Koszul J-L, Kupershmidt B A, Medina A, Schouten J A, Vinberg E B, Winterhalder A, Zel'manov E I   +19 more
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Algebraic Structures in Euclidean and Minkowskian Two-Dimensional Conformal Field Theory [PDF]

, 2008
We review how modular categories, and commutative and non-commutative Frobenius algebras arise in rational conformal field theory. For Euclidean CFT we use an approach based on sewing of surfaces, and in the Minkowskian case we describe CFT by a net of ...
Kong, Liang, Runkel, Ingo
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Free Rota-Baxter algebras and rooted trees

, 2008
A Rota-Baxter algebra, also known as a Baxter algebra, is an algebra with a linear operator satisfying a relation, called the Rota-Baxter relation, that generalizes the integration by parts formula.
Aguiar M., Aguiar M., Ebrahimi-Fard E., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Ebrahimi-Fard K., Guo L., Guo L., Guo L., Holtkamp R., KURUSCH EBRAHIMI-FARD, LI GUO, Loday J.-L., Pirashvili T., Rota G., Rota G.   +18 more
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Vertex Algebras and Costello-Gwilliam Factorization Algebras [PDF]

arXiv, 2020
Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras.
arxiv  

Dilations of frames, operator valued measures and bounded linear maps

, 2014
We will give an outline of the main results in our recent AMS Memoir, and include some new results, exposition and open problems. In that memoir we developed a general dilation theory for operator valued measures acting on Banach spaces where operator ...
Han, Deguang, Larson, David R., Liu, Bei, Liu, Rui   +3 more
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Invariant Subspace Problem in Hilbert Spaces: Exploring Applications in Quantum Mechanics, Control Theory, Operator Algebras, Functional Analysis and Accelerator Physics

, 2023
This paper explores the Invariant Subspace Problem in operator theory and functional analysis, examining its applications in various branches of mathematics and physics.
Behtouei, Mostafa
core  

Factorization algebra

, 2023
Factorization algebras are local-to-global objects living on manifolds, and they arise naturally in mathematics and physics. Their local structure encompasses examples like associative algebras and vertex algebras; in these examples, their global ...
Costello, Kevin, Gwilliam, Owen
core