Results 71 to 80 of about 3,490 (238)
Hilbert Algebras with Hilbert-Galois Connections II
Bulletin of the Section of LogicHilbert algebra with a Hilbert-Galois connection, or HilGC-algebra, is a triple \(\left(A,f,g\right)\) where \(A\) is a Hilbert algebra, and \(f\) and \(g\) are unary maps on \(A\) such that \(f(a)\leq b\) iff \(a\leq g(b)\), and \(g(a\rightarrow b)\leq ...
Sergio A. Celani, Daniela Montagie
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Reports on Mathematical LogicIn [S. Celani and L. Cabrer. Duality for finite Hilbert algebras. Discrete Math., 305(1-3):74{99, 2005.] the authors proved that every finite Hilbert algebra A is isomorphic to the Hilbert algebra HK(X) = {w ⇒ i v : w ∈ K and v ⊆ w}, where X is a finite poset, K is a distinguished collection of subsets of X, and the implication ⇒i is defined by: w ⇒i ...
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The fundamental theorem of asset pricing with and without transaction costs
Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
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Grassmann algebras as Hilbert space
Journal of Algebra, 1968 Let \(A= (A_{ij})\) \((1\le i, j \le m)\) be an \((mn)\)-square positive definite Hermitian matrix, where each \(A_{ij}\) is an \(n\)-square matrix. Let \(A_{(k)} = (A_{ij})_{1\le i, j \le k}\) be the upper left \((nk)\)-square submatrix of \(A\), and let \(\tilde A_{(k)} = (\det A_{ij})_{1\le i, j \le k}\) denote the \(k\)-square matrix obtained by ...
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
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The Cuntz semigroup of continuous functions into certain simple C*-algebras [PDF]
, 2011 Peer ...
AARON TIKUISIS, Tikuisis, A.
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C∗-Algebras Associated with Hilbert C∗-Quad Modules of Finite Type
International Journal of Mathematics and Mathematical Sciences, 2014 A Hilbert C∗-quad module of finite type has a multistructure of Hilbert C∗-bimodules with two finite bases. We will construct a C∗-algebra from a Hilbert C∗-quad module of finite type and prove its universality subject to certain relations among ...
Kengo Matsumoto
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Repelled Point Processes With Application to Numerical Integration
Scandinavian Journal of Statistics, EarlyView.ABSTRACT We look at Monte Carlo numerical integration from a stochastic geometry point of view. While crude Monte Carlo estimators relate to linear statistics of a homogeneous Poisson point process (PPP), linear statistics of more regularly spread point processes can yield unbiased estimators with faster‐decaying variance, and thus lower integration ...
Diala Hawat +3 more
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Ternary structures in Hilbert spaces
, 2011 PhDTernary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped
Bahmani, Fatemeh
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Perturbations of C*-algebraic invariants [PDF]
, 2010 Kadison and Kastler introduced a metric on the set of all C*-algebras on a fixed Hilbert space. In this paper structural properties of C*-algebras which are close in this metric are examined.
White, Stuart +11 more
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