Some new results on accretive multivalued operators
Some new sequence spaces defined by a modulus function
Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces
New norms for some distributions on spaces of homogeneous type which include some fractals are introduced. Using inhomogeneous discrete Calderón reproducing formulae and the Plancherel-Pólya inequalities on spaces of homogeneous type, the authors prove that these norms give a new characterization for the Besov and Triebel-Lizorkin spaces with p, q > 1 and can be used to introduce new inhomogeneous Besov and Triebel-Lizorkin spaces with p, q ≤ 1 on spaces of homogeneous type. Moreover, atomic...
Some normability conditions on Fréchet spaces.
We define two new normability conditions on Fréchet spaces and announce some related results.
Some Normed Barrelled Spaces which are not Baire.
Some notes about the convexity module.
Some notes on convex sets.
Some notes on embedding for anisotropic Sobolev spaces
In this paper, we prove new embedding theorems for generalized anisotropic Sobolev spaces, and , where is the weighted Lorentz space and is a rearrangement invariant space in . The main methods used in the paper are based on some estimates of nonincreasing rearrangements and the applications of weights.
Some notes on Markuševič bases in weakly compactly generated Banach spaces
Some notes on various rotundity and smoothness properties of separable Banach spaces
Some notions of amenability for certain products of Banach algebras
For two Banach algebras and ℬ, an interesting product , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.
Some observations on Besov and Lizorkin-Triebel spaces.
Some observations on local uniform boundedness principles
Some observations on local uniform boundedness principles. II
Some old and new applications of Choquet theory in potential theory
Some open problems in Banach space theory
Some open problems on best approximation in normed linear spaces
Some open problems on functional analysis and function theory.
Some orthogonal decompositions of Sobolev spaces and applications
Two kinds of orthogonal decompositions of the Sobolev space W̊₂¹ and hence also of for bounded domains are given. They originate from a decomposition of W̊₂¹ into the orthogonal sum of the subspace of the -solenoidal functions, k ≥ 1, and its explicitly given orthogonal complement. This decomposition is developed in the real as well as in the complex case. For the solenoidal subspace (k = 0) the decomposition appears in a little different form. In the second kind decomposition the -solenoidal...
Some permanence properties of locally convex spaces defined by norm space ideals of operators