Results 21 to 30 of about 94 (89)
Extensions of symmetric operators I: The inner characteristic function case
Concrete Operators, 2015 Given a symmetric linear transformation on a Hilbert space, a natural problem to consider is the characterization of its set of symmetric extensions. This problem is equivalent to the study of the partial isometric extensions of a fixed partial isometry.
Martin R.T.W.
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On Gradings of the Operator Algebra Generated by Mapping and Multipliers [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 The operator algebra generated by mapping on a countable set and multipliers is considered. The defined mapping induces a family of partial isometries satisfying some relations.
E.V. Patrin
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Crossed Product of a C*-Algebra by a Semigroup of Interactions
Demonstratio Mathematica, 2014 The paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries.
Kwaśniewski B. K.
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Bootstrapping inflationary correlators in Mellin space
Journal of High Energy Physics, 2020 We develop a Mellin space approach to boundary correlation functions in anti-de Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators in Fourier space, we show that the analytic continuation between AdS d+1 and dS ...
Charlotte Sleight, Massimo Taronna
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PARTIAL ISOMETRIES OF A SUB-RIEMANNIAN MANIFOLD [PDF]
International Journal of Mathematics, 2012 In this article, we obtain the following generalization of isometric C1-immersion theorem of Nash and Kuiper. Let M be a smooth manifold of dimension m and H a rank k subbundle of the tangent bundle TM with a Riemannian metric gH. Then the pair (H, gH) defines a sub-Riemannian structure on M.
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On the monoid of cofinite partial isometries of $\qq{N}^n$ with the usual metric
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In this paper we study the structure of the monoid Iℕn ∞ of cofinite partial isometries of the n-th power of the set of positive integers ℕ with the usual metric for a positive integer n > 2.
Oleg Gutik, Anatolii Savchuk
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Characterization of Directed Graphs Representing C*-Algebra of Complex Matrices [PDF]
E3S Web of ConferencesQuantum mechanics is a study that plays a major role in determining the biological intelligence of Artificial Intelligence (AI). Point particle systems in quantum mechanics can be explained using C*-Algebra which is called CAR-algebra. There is a special
Hidayat Wahyu, Herlinawati Elin
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On the Ideals of C∗-Algebra Generated by a Family of Partial Isometries and Multipliers [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 C∗-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying some relations is covered in the paper.
A.Yu. Kuznetsova, E.V. Patrin
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Extending partial isometries of antipodal graphs [PDF]
Discrete Mathematics, 2020 Accepted to Discrete ...
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Adversarial Robustness with Partial Isometry
EntropyDespite their remarkable performance, deep learning models still lack robustness guarantees, particularly in the presence of adversarial examples. This significant vulnerability raises concerns about their trustworthiness and hinders their deployment in critical domains that require certified levels of robustness.
Loïc Shi-Garrier +2 more
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