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Strictly flat cyclic Frechet modules and approximate identities not have a bounded a.i. On the other hand, we show that a quasinormable locally m-convex Frechet algebra

Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities quasinormable locally m-convex Fréchet algebra has a locally b.a.i. if and only if it has a b.a.i. On the other

Singular Integral Equations on Non-Smooth Curves in Hölder–Frechét SpaceSingular Integral Equations on Non-Smooth Curves in Hölder–Frechét Space

On the convergence of order-preserving weak greedy algorithmsQuasinormed space

On Holder’s Inequality in Lebesgue Spaces with Variable Order of SummabilityIn this paper, we introduce a new version of the definition of a quasinorm (in particular, a norm

Locally Convex Limit Spaces of Measurable Functions with Order Units and Its Duals
© 2018, Pleiades Publishing, Ltd. We consider linear normed spaces of measurable functions

Controllability for a nonlinear abstract evolution equation equation in Banach space when the control is a multiplier on the right-hand side. We obtain sufficient

Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter if and only if there exist at least two equivalent norms by order unit spaces with order unities fα and fβ

Partition of a unity on infinite-dimensional manifold of the Lipschiz class Lipk for infinitedimensional manifold M modeled in nonnormable topological vector Fréchet space F. We establish that a manifold

Topological splines in locally convex spacesIn the present paper, we propose a new approximation method in different function spaces. A

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