Jordan *-derivation pairs on a complex *-algebra.
Jordan *-derivation pairs on standard operator algebras and related results
Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.
Jordan homomorphisms in proper JCQ-triples.
Jordan isomorphisms and maps preserving spectra of certain operator products
Let ₁, ₂ be (not necessarily unital or closed) standard operator algebras on locally convex spaces X₁, X₂, respectively. For k ≥ 2, consider different products on elements in , which covers the usual product and the Jordan triple product T₁ ∗ T₂ = T₂T₁T₂. Let Φ: ₁ → ₂ be a (not necessarily linear) map satisfying whenever any one of ’s has rank at most one. It is shown that if the range of Φ contains all rank one and rank two operators then Φ must be a Jordan isomorphism multiplied by a root...
J-subspace lattices and subspace M-bases
The class of J-lattices was defined in the second author’s thesis. A subspace lattice on a Banach space X which is also a J-lattice is called a J- subspace lattice, abbreviated JSL. Every atomic Boolean subspace lattice, abbreviated ABSL, is a JSL. Any commutative JSL on Hilbert space, as well as any JSL on finite-dimensional space, is an ABSL. For any JSL ℒ both LatAlg ℒ and (on reflexive space) are JSL’s. Those families of subspaces which arise as the set of atoms of some JSL on X are characterised...
Julia's Lemma for Operators.
Jump processes, ℒ-harmonic functions, continuity estimates and the Feller property
Given a family of Lévy measures ν={ν(x, ⋅)}x∈ℝd, the present work deals with the regularity of harmonic functions and the Feller property of corresponding jump processes. The main aim is to establish continuity estimates for harmonic functions under weak assumptions on the family ν. Different from previous contributions the method covers cases where lower bounds on the probability of hitting small sets degenerate.
Jumping nonlinearities and mathematical models of suspension bridge
-convexity and duality for almost summing operators.
K zobecnění pojmu projektor
Kalecki's model of business cycle. Data dependence.
KAM theory in momentum space and quasiperiodic Schrödinger operators
Kannan fixed point theorem on generalized metric spaces.
Kannan-type cyclic contraction results in -Menger space
In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of -norm in our theorems. In our first theorem we use a Hadzic-type -norm. We use the minimum -norm in our second theorem. We prove our second theorem by different arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example....
Kantorovich-Rubinstein Maximum Principle in the Stability Theory of Markov Semigroups
A new sufficient condition for the asymptotic stability of a locally Lipschitzian Markov semigroup acting on the space of signed measures is proved. This criterion is applied to the semigroup of Markov operators generated by a Poisson driven stochastic differential equation.
Kato decomposition of linear pencils
T. Kato [5] found an important property of semi-Fredholm pencils, now called the Kato decomposition. M. A. Kaashoek [3] introduced operators having the property P(S:k) as a generalization of semi-Fredholm operators. In this work, we study this class of operators. We show that it is characterized by a Kato-type decomposition. Other properties are also proved.
Kato-Protter type inequalities, bounded vectors and the exponential function
Kato's equality and spectral decomposititon for positive C0-Groups.
K-convergence entails absolute K-convergence in quasi-normed groups
Kellogg's iterations with minimizing parameters