Fractional powers of hyponormal operators of Putnam type.
Fractional powers of non-densely defined operators
Fractional powers of non-negative operators in Fréchet spaces.
Fractional powers of operators, K-functionals, Ulyanov inequalities
Given an equibounded (₀)-semigroup of linear operators with generator A on a Banach space X, a functional calculus, due to L. Schwartz, is briefly sketched to explain fractional powers of A. Then the (modified) K-functional with respect to , α > 0, is characterized via the associated resolvent R(λ;A). Under the assumption that the resolvent satisfies a Nikolskii type inequality, , for a suitable Banach space Y, an Ulyanov inequality is derived. This will be of interest if one has good control...
Fragmentation-Coagulation Models of Phytoplankton
We present two new models of the dynamics of phytoplankton aggregates. The first one is an individual-based model. Passing to infinity with the number of individuals, we obtain an Eulerian model. This model describes the evolution of the density of the spatial-mass distribution of aggregates. We show the existence and uniqueness of solutions of the evolution equation.
Frame characterizations of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type and their applications.
Frames associated with expansive matrix dilations.
We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case.
Fréchet Differentiability of the Norm in Operator Spaces.
Fréchet interpolation spaces and Grothendieck operator ideals.
Starting with a continuous injection I: X → Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.
Fredholm alternative for nonlinear operators
Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations
Fredholm alternative for nonlinear operators in Banach spaces and its applications to the differential and integral equations (Preliminary communication)
Fredholm alternative for nonlinear operators in Banach spaces and its applications to differential and integral equations
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Fredholm determinants
The article provides with a down to earth exposition of the Fredholm theory with applications to Brownian motion and KdV equation.
Fredholm determinants and the Evans function for difference equations
We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
Fredholm linear operators associated with ordinary differential equations on noncompact intervals.
Fredholm points of compactly pertubed bounded linear operators
Fredholm properties of elliptic operators on ℝⁿ [Book]
Fredholm property for a parameter dependent second order operator differential equation.