5 citations · 16 across the 14 of their papers we have counts for
15 papers
Villadsen algebras
Cristian Ivanescu, Dan Kucerovsky
C*-algebras are rings, sometimes nonunital, obeying certain axioms that ensure a very well-behaved representation theory upon Hilbert space. Moreover, there are some well-known fea…
Co-actions, Isometries and isomorphism classes of Hilbert modules
Dan Z. Kucerovsky
We show that a A-linear map of Hilbert A-modules is induced by a unitary Hilbert module operator if and only if it extends to an ordinary unitary on appropriately defined envelopin…
Separating points through inclusions of
Dan Kucerovsky
We define a basis property that an inclusion of C*-algebras may have, and give various conditions for the property to hold. Some applications are consi…
Relative double commutants in coronas of separable C*-algebras
Dan Kucerovsky, Martin Mathieu
We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen. Double commutant theorems origin…
Cuntz semigroups of compact-type Hopf C*-algebras
Dan Kucerovsky
The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism. We co…
Solving an Integral Equation Arising from the Ruin Probability of Long-term Bonus-Malus Systems
Dan Kucerovsky, Amir T. Payandeh Najafabadi
This article studies in detail the solution of an integral equation due to Rongming et al. [13]. The methods involve complex analysis. As an application, we find the ruin probabili…
On the Distribution of Extrema for a Class of Lévy Processes
Amir T. Payandeh Najafabadi, Dan Kucerovsky
Suppose Xt is either a regular exponential type Levy process or a Levy process with a bounded variation jumps measure. The distribution of the extrema of Xt play a crucial role in…
On Approximating Ruin Probability of Double Stochastic Compound Poisson Processes
Amir T. Payandeh Najafabadi, Dan Kucerovsky
Consider a surplus process which both of collected premium and payed claim size are two independent compound Poisson processes. This article derives two approximated formulas for t…
A Weak Approximation for the Extrema's Distributions of Lévy Processes
Amir T. Payandeh Najafabadi, Dan Z. Kucerovsky
Suppose is a one-dimensional and real-valued Lévy process started from , which ({\bf 1}) its nonnegative jumps measure satisfying $\int_{\Bbb R}\min\{1,x^2\}ν(dx…
On the Riemann-Hilbert factorization problem for positive definite functions
Dan Kucerovsky, Amir T. P. Najafabadi, Aydin Sarraf
We give several general theorems concerning positive definite solutions of Riemann-Hilbert problems on the real line. Furthermore, as an example, we apply our theory to the charact…
The Cuntz semigroup of the tensor product C*-algebras
Cristian Ivanescu, Dan Kucerovsky
We calculate the Cuntz semigroup of the tensor product A with A. We restrict our attention to C*-algebras A which are unital, simple, nuclear, stably finite, have stable rank one,…
Generalized Coefficients for Hopf Cyclic Cohomology
Mohammad Hassanzadeh, Dan Kucerovsky, Bahram Rangipour
A category of coefficients for Hopf cyclic cohomology is defined. It is shown that this category has two proper subcategories of which the smallest one is the known category of sta…
Schur Multipliers and Matrix Products
Dan Kucerovsky, Aydin Sarraf
We give necessary and sufficient conditions for a Schur map to be a homomorphism, with some generalizations to the infinite-dimensional case. In the finite-dimensional case, we fin…
Heat Kernel for Simply-Connected Riemann Surfaces
Trevor H. Jones, Dan Kucerovsky
From the uniformization theorem, we know that every Riemann surface has a simply-connected covering space. Moreover, there are only three simply-connected Riemann surfaces: the sph…
Monotonicity Analysis over Chains and Curves
Dan Kucerovsky, Daniel Lemire
Chains are vector-valued signals sampling a curve. They are important to motion signal processing and to many scientific applications including location sensors. We propose a novel…