Results 21 to 30 of about 251 (157)
!COMMUTANT LIFTING, TENSOR ALGEBRAS, AND FUNCTIONAL CALCULUS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2001 AbstractA non-commutative multivariable analogue of Parrott’s generalization of the Sz.-Nagy–Foia\c{s} commutant lifting theorem is obtained. This yields Tomita-type commutant results and interpolation theorems (e.g. Sarason, Nevanlinna–Pick, Carathéodory) for $F_n^\infty\,\bar{\otimes}\,\M$, the weakly-closed algebra generated by the spatial tensor ...
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Quasi-shuffle Algebras in Non-commutative Stochastic Calculus [PDF]
, 2021 This chapter is divided into two parts. The first is largely expository and builds on Karandikar's axiomatisation of It{ô} calculus for matrix-valued semimartin-gales. Its aim is to unfold in detail the algebraic structures implied for iterated It{ô} and Stratonovich integrals.
Ebrahimi-Fard, Kurusch +1 more
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Global asymptotic stability of nonlinear periodic impulsive equations [PDF]
, 2018 Pseudo-linear impulsive differential equations in a Banach space are considered. It is assumed that the conditions of a small change in the operator coefficients of the equation are satisfied.
Tunc, Cemil +2 more
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Influence of the Commutator Properties of Hamiltonians on the Robustness of Quantum Circuits
, 2023 We have proved new estimates for the coherent control errors of quantum circuits used in quantum computing. These estimates essentially take into account the commutator properties of the Hamiltonians and are based on the formulas of the commutator ...
Slynko, Vitalii, Bivziuk, Vladyslav
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Epilepsia, EarlyView.Abstract Objective Novel epilepsy treatments for patients with tuberous sclerosis complex (TSC) and focal cortical dysplasia type II (FCDII) are urgently needed. In these patients, mutations in the mechanistic target of rapamycin (mTOR) pathway genes lead to mTOR hyperactivity and focal cortical malformations that frequently cause intractable epilepsy ...
Branden Stansley +11 more
wiley +1 more source
Commutativity of the Leibniz rules in fractional calculus
Computers & Mathematics with Applications, 2000 Many earlier works on the subject of fractional calculus (that is, differentiation and integration of an \textit{arbitrary} real or complex order) provide interesting accounts of the theory and applications of fractional calculus operators in several areas of mathematical analysis (such as ordinary and partial differential equations, integral equations,
Tu, Shih-Tong +2 more
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source
Non-Commutative First-Order Sequent Calculus [PDF]
, 2009 This paper investigates a non-commutative first-order sequent calculus NCLK. For that, this paper extends a noncommutative positive fragment to a full first-order sequent calculus LK- having antecedent-grouping and no right exchange rule. This paper shows (1) NCLK is equivalent to LJ, (2) NCLK with the exchange rule is equivalent to LK, (3) LK- is ...
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Multicentric holomorphic calculus for $n-$tuples of commuting operators [PDF]
Advances in Operator Theory, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Joint Functional Calculus for Sectorial Operators with Commuting Resolvents [PDF]
Proceedings of the London Mathematical Society, 1998 We study the notion of joint functional calculus associated with a couple of resolvent commuting sectorial operators in a Banach space \(X\). We present some positive results when \(X\) is for example a Banach lattice or a quotient of subspaces of a \(B\)-convex Banach lattice.
Lancien, Florence +2 more
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