Results 61 to 70 of about 21,443,625 (160)
On commutativity of C*-algebras [PDF]
Glasgow Mathematical Journal, 1987 Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0 ...
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Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Journal of Functional Analysis, 1988 Let V be a vector space over the complex numbers C and let \(M_ n(V)=V\otimes M_ n(C)\) denote the vector space of \(n\times n\) matrices \([v_{ij}]\) with entries in V. Let \(A[v_{ij}]=[\sum_{k}a_{ik}v_{kj}]\) and \([v_{ij}]A-[\sum a_{kj}v_{ik}]\) for \([v_{ij}]\) in \(M_ n(V)\) and \(A=[a_{ij}]\) in M(C). If \(v\in M_ n(V)\) and \(\omega \in M_ m(V)\)
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On the Definition of C*-algebras
Publications of the Research Institute for Mathematical Sciences, 1973 It is shown that conditions \Vert x y\Vert ≤ \Vert x\Vert \Vert y\Vert and \Vert x^*\Vert= \Vert x\Vert follow from the other axioms for
Huzihiro Araki, George A. Elliott
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Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i MehanikaIn this paper, we study a categorical extension of the classical Gelfand-Naimark duality between compact Hausdorff spaces and commutative unital C*-algebras.
Роман Скуріхін +2 more
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Bounded-Lipschitz Distances on the State Space of a C*-algebra [PDF]
, 2005 Metric noncommutative geometry, initiated by Alain Connes, has known some great recent developments under the impulsion of Rieffel and the introduction of the category of compact quantum metric spaces topologized thanks to the quantum Rieffel-Gromov ...
Frederic Pierre Jean Latrémolière
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Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
C∗-algebraic Gauss-Lucas Theorem and C∗-algebraic Sendov’s Conjecture
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiBuilding on a foundational result established by Robertson [Proc. Edinburgh Math. Soc., 1976], we develop a framework for differentiation of maps defined on specific classes of unital commutative C∗-algebras.
Krishna, K.M.
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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 an endomorphism, coefficient algebras and transfer operators [PDF]
, 2005 The paper presents a construction of the crossed product of a C*-algebra by an endomorphism generated by partial isometry. Bibliography: 26 titles.
A. Antonevich, V. Bakhtin, A. Lebedev
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