On ideals consisting of topological zero divisors
The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
On ideals of operators and of locally convex spaces.
On idempotent Liftings
On imbedding theorems for weighted anisotropic Sobolev spaces
Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.
On imbeddings of weighted Sobolev spaces on an unbounded domain.
On inclusion relations between Lorentz sequence spaces and inequalities of Lewis type.
On Incomparability of Banach Spaces.
On incomparability of Banach spaces
Several concepts of incomparability of Banach spaces have been considered in the literature, which allow one to describe some of the properties of the product of two Banach spaces as a juxtaposition of the corresponding properties of the factors. In this paper we study the relations between these concepts of incomparability, survey the main results and applications, and state some open problems.
On incomparability of Banach spaces.
On independent sequences in topological linear spaces
On individual subsequential ergodic theorem in von Neumann algebras
We use a non-commutative generalization of the Banach Principle to show that the classical individual ergodic theorem for subsequences generated by means of uniform sequences can be extended to the von Neumann algebra setting.
On Inductive Limits of Banach Spaces.
On inductive limits of matrix algebras over higher dimensional spaces, part II.
On inductive limits of matrix algebras over higher dimensional spaces, part I.
On inductive limits of topological algebras
On inequalities of Hardy-Sobolev type.
On inequalities with measures of Sobolev type embedding theorems on open sets of the real axis.
On infinite derivatives of continuous functions
On infinite dimensional uniform smoothness of Banach spaces
An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some -type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property.
On infinitesimally optimal paths.