On the extension of holomorphic functions on a locally convex space
On the extension of linear operators.
On the extension of positive linear functionals.
On the Fast Convergence of a Galerkin-Like Method for Equations of the Second Kind.
On the Fefferman-Phong inequality
We show that the number of derivatives of a non negative 2-order symbol needed to establish the classical Fefferman-Phong inequality is bounded by improving thus the bound obtained recently by N. Lerner and Y. Morimoto. In the case of symbols of type , we show that this number is bounded by ; more precisely, for a non negative symbol , the Fefferman-Phong inequality holds if are bounded for, roughly, . To obtain such results and others, we first prove an abstract result which says that...
On the fine spectra of some averaging operators.
On the fine spectrum of generalized upper double-band matrices over the sequence space
On the fine spectrum of the generalized difference operator over the sequence spaces and .
On the Fine Structure of Spectra.
On the finite dimensional orbits of linear operators
On the fixed point index of non-compact mappings
On the fixed point property in direct sums of Banach spaces with strictly monotone norms
It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.
On the Fixed Point Set of Nonexpansive Order Preserving Maps.
On the fixed points of affine nonexpansive mappings.
On the fixed points of nonexpansive mappings in direct sums of Banach spaces
We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.
On the fixed-point property of unital uniformly closed subalgebras of .
On the fixed-point set of a family of relatively nonexpansive and generalized nonexpansive mappings.
On the Fourier cosine—Kontorovich-Lebedev generalized convolution transforms
We deal with several classes of integral transformations of the form where is an operator. In case is the identity operator, we obtain several operator properties on with weights for a generalized operator related to the Fourier cosine and the Kontorovich-Lebedev integral transforms. For a class of differential operators of infinite order, we prove the unitary property of these transforms on and define the inversion formula. Further, for an other class of differential operators of finite...
On the fractional integral of Weyl in Lp.
On the Fredholm alternative for the Fučík spectrum.