On fuzzy subbundles of vector bundles.
On fuzzy Volterra integral equations with deviating arguments.
On Gaps Between Bounded Operators
On Gardings inequality.
On Gateaux differentiable bump functions
It is shown that the order of Gateaux smoothness of bump functions on a wide class of Banach spaces with unconditional basis is not better than that of Fréchet differentiability. It is proved as well that in the separable case this order for Banach lattices satisfying a lower p-estimate for 1≤ p < 2 can be only slightly better.
On Gelfand-Mazur theorem on a class of F -algebras
A topological algebra A is said to be fundamental if there exists b > 1 such that for every sequence (xn) in A, (xn) is Cauchy whenever the sequence bn(xn − xn-1) tends to zero as n → ∞. Let A be a complex unital fundamental F-algebra with bounded elements such that A* separates the points on A. Then we prove that the spectrum σ(a) of every element a ∈ A is nonempty compact. Moreover, if A is a division algebra, then A is isomorphic to the complex numbers ℂ. This result is a generalization of...
On general Lipschitzian kernels.
On generalizations of Grüss inequality in inner product spaces and applications.
On generalized Bergman spaces
Let D be the open unit disc and μ a positive bounded measure on [0,1]. Extending results of Mateljević/Pavlović and Shields/Williams we give Banach-space descriptions of the classes of all harmonic (holomorphic) functions f: D → ℂ satisfying .
On generalized Blumberg sets
On generalized derivatives for vector optimization problems.
On generalized eigenfunctions of operators in a Hilbert space
On generalized inverses in C*-algebras
We investigate when a C*-algebra element generates a closed ideal, and discuss Moore-Penrose and commuting generalized inverses.
On Generalized Models and Singular Products of Distributions in Colombeau Algebra G(R)
MSC 2010: 46F30, 46F10Modelling of singularities given by discontinuous functions or distributions by means of generalized functions has proved useful in many problems posed by physical phenomena. We introduce in a systematic way generalized functions of Colombeau that model such singularities. Moreover, we evaluate some products of singularity-modelling generalized functions whenever the result admits an associated distribution.
On generalized Moser-Trudinger inequalities without boundary condition
We give a version of the Moser-Trudinger inequality without boundary condition for Orlicz-Sobolev spaces embedded into exponential and multiple exponential spaces. We also derive the Concentration-Compactness Alternative for this inequality. As an application of our Concentration-Compactness Alternative we prove that a functional with the sub-critical growth attains its maximum.
On generalized paranormed statistically convergent sequence spaces defined by Orlicz function.
On generalized periodic solutions of linear differential equations of order n
On generalized right modular complemented algebras
On generalized solutions of some differential non-linear equations of order n