Iterative solution of eigenvalue problems for normal operators
We will discuss Kellogg's iterations in eigenvalue problems for normal operators. A certain generalisation of the convergence theorem is shown.
Iterative solution of nonlinear equations of Hammerstein type.
Iterative solution of nonlinear equations of the pseudo-monotone type in Banach spaces
The weak convergence of the iterative generated by , , to a coincidence point of the mappings is investigated, where is a real reflexive Banach space and its dual (assuming that is strictly convex). The basic assumptions are that is the duality mapping, is demiclosed at , coercive, potential and bounded and that there exists a non-negative real valued function such that
Iterative solution of unstable variational inequalities on approximately given sets.
Iterative solutions of -positive definite operator equations in real uniformly smooth Banach spaces.
Iterative solutions of nonlinear equations with -strongly accretive operators.
Ivar Fredholm a počátky funkcionální analýzy
IVPs for singular multi-term fractional differential equations with multiple base points and applications
The purpose of this paper is to study global existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. By constructing a special Banach space and employing fixed-point theorems, some sufficient conditions are obtained for the global existence and uniqueness of solutions of this kind of equations involving Caputo fractional derivatives and multiple base points. We apply the results to solve the forced logistic model with multi-term fractional...
-spectral factorization for rational matrix functions with alternative realization.
Jacobi matrices on trees
Symmetric Jacobi matrices on one sided homogeneous trees are studied. Essential selfadjointness of these matrices turns out to depend on the structure of the tree. If a tree has one end and infinitely many origin points the matrix is always essentially selfadjoint independently of the growth of its coefficients. In case a tree has one origin and infinitely many ends, the essential selfadjointness is equivalent to that of an ordinary Jacobi matrix obtained by restriction to the so called radial functions....
Jensen's inequality for conditional expectations.
Jensen's Inequality for Operators and Löwner 's Theorem.
J-majorizing and modular operators in J-spaces
Joint essential spectra
Joint spectra
Joint spectra and multiplicative functionals
Joint spectra of the tensor product representation of the direct sum of two solvable Lie algebras [Book]
Joint spectral properties for permutable linear transformations.
Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces
Joint subnormality of a family of composition operators on L²-space is characterized by means of positive definiteness of appropriate Radon-Nikodym derivatives. Next, simplified positive definiteness conditions guaranteeing joint subnormality of a C₀-semigroup of composition operators are supplied. Finally, the Radon-Nikodym derivatives associated to a jointly subnormal C₀-semigroup of composition operators are shown to be the Laplace transforms of probability measures (modulo a C₀-group of scalars)...
Joint subnormality of n-tuples and C₀-semigroups of composition operators on L²-spaces, II
In the previous paper, we have characterized (joint) subnormality of a C₀-semigroup of composition operators on L²-space by positive definiteness of the Radon-Nikodym derivatives attached to it at each rational point. In the present paper, we show that in the case of C₀-groups of composition operators on L²-space the positive definiteness requirement can be replaced by a kind of consistency condition which seems to be simpler to work with. It turns out that the consistency condition also characterizes...