in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...

We consider the Bézier variant of Chlodovsky–Durrmeyer operators Dn,α for functions f measurable and locally bounded on the interval [0,∞). By using the Chanturia modulus of variation we estimate the rate of pointwise convergence of (Dn,αf) (x) at those x > 0 at which the one-sided limits f(x+), f(x−) exist. In the special case α = 1 the recent result of [14] concerning the Chlodovsky–Durrmeyer...

We investigate $$o\tau $$ -continuous/bounded/compact and Lebesgue operators from vector lattices to topological spaces; the Kantorovich-Banach between locally solid Levi lattices. The main idea of operator versions notions related lies in redistributing order properties a lattice domain range an under investigation. Domination for these classes are studied.

We derive the stochastic version of Magnus expansion for linear systems differential equations (SDEs). The main novelty with respect to related literature is that we consider SDEs in It\^o sense, progressively measurable coefficients, which an explicit It\^o-Stratonovich conversion not available. prove convergence up a stopping time {\tau} and provide novel asymptotic estimate cumulative distri...

We build a systematic calculational method for the covariant expansion of two-point heat kernel $\stackrel{^}{K}(\ensuremath{\tau}|x,{x}^{\ensuremath{'}})$ generic minimal and nonminimal differential operators any order. This is in powers dimensional background field objects---the coefficients operator corresponding spacetime vector bundle curvatures, suitable renormalization effective theory a...

Algebraic geometrical solutions of a new shallow-water equation and Dymtype equation are studied in connection with Hamiltonian flows on nonlinear subvarieties of hyperelliptic Jacobians. These equations belong to a class of N -component integrable systems generated by Lax equations with energydependent Schrödinger operators having poles in the spectral parameter. The classes of quasi-periodic ...