On Lattice Isomorphisms with Positive Real Spectrum and Groups of Positive Operators.
On Liu's analyticity criterion for semigroups.
On local ergodic theorems for positive semigroups
On local -times integrated -semigroups.
On Markovian cocycle perturbations in classical and quantum probability.
On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.
On nonautonomous second-order differential equations on Banach space.
On operator bands
A multiplicative semigroup of idempotent operators is called an operator band. We prove that for each K>1 there exists an irreducible operator band on the Hilbert space which is norm-bounded by K. This implies that there exists an irreducible operator band on a Banach space such that each member has operator norm equal to 1. Given a positive integer r, we introduce a notion of weak r-transitivity of a set of bounded operators on a Banach space. We construct an operator band on that is weakly...
On Operators with Bounded Imaginary Powers in Banach Spaces.
On operator-valued cosine sequences on UMD spaces
A two-sided sequence with values in a complex unital Banach algebra is a cosine sequence if it satisfies for any n,m ∈ ℤ with c₀ equal to the unity of the algebra. A cosine sequence is bounded if . A (bounded) group decomposition for a cosine sequence is a representation of c as for every n ∈ ℤ, where b is an invertible element of the algebra (satisfying , respectively). It is known that every bounded cosine sequence possesses a universally defined group decomposition, the so-called...
On optimal regularity in evolution equations
Using interpolation techniques we prove an optimal regularity theorem for the convolution , where is a strongly continuous semigroup in general Banach space. In the case of abstract parabolic problems – that is, when is an analytic semigroup – it lets us recover in a unified way previous regularity results. It may be applied also to some non analytic semigroups, such as the realization of the Ornstein-Uhlenbeck semigroup in , , in which case it yields new optimal regularity results in fractional...
On perturbation theory for exponentially bounded C-semigroups.
On perturbations of differentiate semigroups.
On product formulas for exponential functions.
On quantum extensions of the Azéma martingale semi-group
On random evolutions induced by countable state space Markov chains
On reaction-diffusion systems.
On reducibility of some operator semigroups and algebras on locally convex spaces.
On regularity at t = 0 for semilinear ADEs and its numerical applications.
On regularized quasi-semigroups and evolution equations.