On -differentiability and difference properties of functions
On L p Space Formed by Real-Valued Partial Functions
This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space. We also prove Minkowski's inequality, Hölder's inequality and that Lp space is Banach space ([15], [27]).
On l^∞ subspaces of Banach spaces.
We obtain refinement of a result of Partington on Banach spaces containing isomorphic copies of l-∞. Motivated by this result, we prove that Banach spaces containing asymptotically isometric copies of l-∞ must contain isometric copies of l-∞.
On L₁-subspaces of holomorphic functions
We study the spaces where Ω is a disc with radius R and μ is a given probability measure on [0,R[. We show that, depending on μ, is either isomorphic to l₁ or to . Here Aₙ is the space of all polynomials of degree ≤ n endowed with the L₁-norm on the unit sphere.
On large random almost euclidean bases.
On large subspaces of the Schatten -classes
On lattice homomorphisms on Kothe function spaces.
On Lattice Properties of the Composition Operator.
On lattices and algebras of simple functions
On Lavine's formula for time-delay.
On Lax pairs and matrix extended simple Toda systems.
On L...-decay and scattering for nonlinear Klein-Gordon equations.
On Leader's Vp spaces of finitely additive measures.
On Lebesgue points of functions in the Sobolev class .
On Lebesgue pseudonorms on
On left -biflat Banach algebras
We study the notion of left -biflatness for Segal algebras and semigroup algebras. We show that the Segal algebra is left -biflat if and only if is amenable. Also we characterize left -biflatness of semigroup algebra in terms of biflatness, when is a Clifford semigroup.
On lifting quasi-Radon measures.
On Limit Permanence of Projectivity and Ingectivity
On limiting embeddings of Besov spaces
We investigate the classical embedding . The sharp asymptotic behaviour as s → 1 of the operator norm of this embedding is found. In particular, our result yields a refinement of the Bourgain, Brezis and Mironescu theorem concerning an analogous problem for the Sobolev-type embedding. We also give a different, elementary proof of the latter theorem.
On limits of -norms of linear operators