Zobrazeno 1 - 10
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pro vyhledávání: '"McCullough, Scott"'
Autor:
McCullough, Scott, Tsikalas, Georgios
Let $(\mathcal{H}_k, \mathcal{H}_{\ell})$ be a pair of Hilbert function spaces with kernels $k, \ell$. In a 2005 paper, Shimorin showed that a certain factorization condition on $(k, \ell)$ yields a commutant lifting theorem for multipliers $\mathcal
Externí odkaz:
http://arxiv.org/abs/2405.16319
Autor:
Jemaa, Munir Ben, McCullough, Scott
The automorphism group of a particular free spectrahedron is determined via a novel argument involving algebraic methods.
Comment: version 2, clarified the contribution of Proposition 2.3
Comment: version 2, clarified the contribution of Proposition 2.3
Externí odkaz:
http://arxiv.org/abs/2301.02746
Matrix-valued polynomials in any finite number of freely noncommuting variables that enjoy certain canonical partial convexity properties are characterized, via an algebraic certificate, in terms of Linear Matrix Inequalities and Bilinear Matrix Ineq
Externí odkaz:
http://arxiv.org/abs/2209.14580
In this article the operator trace function $ \Lambda_{r,s}(A)[K, M] := {\operatorname{tr}}(K^*A^r M A^r K)^s$ is introduced and its convexity and concavity properties are investigated. This function has a direct connection to several well-studied op
Externí odkaz:
http://arxiv.org/abs/2109.11528
Autor:
McCullough, Scott
The free automorphisms of a class of Reinhardt free spectrahedra are trivial.
Comment: (v4) a few typos corrected (v3) numerous minor corrections and expository upgrades
Comment: (v4) a few typos corrected (v3) numerous minor corrections and expository upgrades
Externí odkaz:
http://arxiv.org/abs/2107.11641
Autor:
McCullough, Scott, Tuovila, Nicole
Free spectrahedra are natural objects in the theories of operator systems and spaces and completely positive maps. They also appear in various engineering applications. In this paper, free spectrahedra satisfying a Reinhardt symmetry condition are ch
Externí odkaz:
http://arxiv.org/abs/2012.02289
Publikováno v:
Rev. Mat. Iberoam. 38 (2022) 731-759
Motivated by classical notions of bilinear matrix inequalities (BMIs) and partial convexity, this article investigates partial convexity for noncommutative functions. It is shown that noncommutative rational functions that are partially convex admit
Externí odkaz:
http://arxiv.org/abs/2005.01086
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2023 526(1)
Autor:
McCullough, Scott, Pascoe, James E.
Publikováno v:
In Journal of Functional Analysis 1 October 2023 285(7)