Positive solutions of some three-point boundary value problems via fixed point index for weakly inward -proper maps.
Positive solutions of three-point boundary value problems for higher-order -Laplacian with infinitely many singularities.
Positive solutions to boundary value problems of nonlinear fractional differential equations.
Positive solutions to nonlinear first-order nonlocal BVPs with parameter on time scales.
Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains.
Positive solutions to singular and delay higher-order differential equations on time scales.
Positive symmetric solutions of singular semipositone boundary value problems.
Positive Toeplitz operators between the pluriharmonic Bergman spaces
We study Toeplitz operators between the pluriharmonic Bergman spaces for positive symbols on the ball. We give characterizations of bounded and compact Toeplitz operators taking a pluriharmonic Bergman space into another for in terms of certain Carleson and vanishing Carleson measures.
Positivity and stability for a system of transport equations with unbounded boundary perturbations.
Positivity Improving Operators and Hypercontractivity.
Positivity in the theory of supercyclic operators
A bounded linear operator T defined on a Banach space X is said to be supercyclic if there exists a vector x ∈ X such that the projective orbit {λTⁿx : λ ∈ ℂ, n ∈ ℕ} is dense in X. The aim of this survey is to show the relationship between positivity and supercyclicity. This relationship comes from the so called Positive Supercyclicity Theorem. Throughout this exposition, interesting new directions and open problems will appear.
Positivity of Lyapunov exponents for Anderson-type models on two coupled strings.
Positivity of operator-matrices of Hua-type.
Potapov-Ginsburg Transformation and Functional Models of Non-Dissipative Operators
2000 Mathematics Subject Classification: Primary 47A20, 47A45; Secondary 47A48.A relation between an arbitrary bounded operator A and dissipative operator A+, built by A in the following way A+ = A+ij*Q-j, where A-A* = ij*Jj, (J = Q+-Q- is involution), is studied. The characteristic functions of the operators A and A+ are expressed by each other using the known Potapov-Ginsburg linear-fractional transformations. The explicit form of the resolvent (A-lI)-1 is expressed by (A+-lI)-1 and (A+*-lI)-1...
Potential operators in variable exponent Lebesgue spaces: two-weight estimates.
Potential Scattering in a Homogeneous Electrostatic Field.
Potential type operators on curves with vorticity points.
Potential-theoretical methods in the construction of measure-valued Markov branching processes
We develop potential-theoretical methods in the construction of measure-valued branching processes.We complete results of P. J. Fitzsimmons and E. B. Dynkin on the construction, regularity and other properties of the superprocess associated with a given right process and a branching mechanism.
Power-bounded elements and radical Banach algebras
Firstly, we give extensions of results of Gelfand, Esterle and Katznelson--Tzafriri on power-bounded operators. Secondly, some results and questions relating to power-bounded elements in the unitization of a commutative radical Banach algebra are discussed.
Powers and commutativity of selfadjoint operators.