Finitely generated ideals in the Banach algebra H∞.
Finitely generated maximum modulus algebras
Finiteness of von Neumann algebras relative to a group of automorphisms.
Finiteness properties of topological algebras, I
Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve
Finite-rank intermediate Hankel operators on the Bergman space.
Finite-tight sets
We introduce two notions of tightness for a set of measurable functions - the finite-tightness and the Jordan finite-tightness with the aim to extend certain compactness results (as biting lemma or Saadoune-Valadier’s theorem of stable compactness) to the unbounded case. These compactness conditions highlight their utility when we look for some alternatives to Rellich-Kondrachov theorem or relaxed lower semicontinuity of multiple integrals. Finite-tightness locates the great growths of a set of...
First class selectors for weakly upper semi-continuous multi-valued maps in Banach spaces.
First integrals for problems of calculus of variations on locally convex spaces.
First order calculi with values in right-universal bimodules
The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a natural context, are easier to describe and handle. As a by-product we obtain intrinsic, coordinate-free and basis-independent generalization of the first order noncommutative differential calculi with partial derivatives.
First order interpolation inequalities with weights
First order topology [Book]
First results on spectrally bounded operators
A linear mapping T from a subspace E of a Banach algebra into another Banach algebra is defined to be spectrally bounded if there is a constant M ≥ 0 such that r(Tx) ≤ Mr(x) for all x ∈ E, where r(·) denotes the spectral radius. We study some basic properties of this class of operators, which are sometimes analogous to, sometimes very different from, those of bounded operators between Banach spaces.
Five equivalent theorems on a convex subset of a topological vector space
Fixed point characterization of left amenable Lau algebras.
Fixed point free maps of a closed ball with small measures of noncompactness.
We show that in all infinite-dimensional normed spaces it is possible to construct a fixed point free continuous map of the unit ball whose measure of noncompactness is bounded by 2. Moreover, for a large class of spaces (containing separable spaces, Hilbert spaces and l-infinity (S)) even the best possible bound 1 is attained for certain measures of noncompactness.
Fixed point theorem and its application to perturbed integral equations in modular function spaces.
Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Fixed point theorems for nonexpansive mappings in modular spaces
In this paper, we extend several concepts from geometry of Banach spaces to modular spaces. With a careful generalization, we can cover all corresponding results in the former setting. Main result we prove says that if is a convex, -complete modular space satisfying the Fatou property and -uniformly convex for all , C a convex, -closed, -bounded subset of , a -nonexpansive mapping, then has a fixed point.