On the modulus of -convexity of Ji Gao.
On the Moore-Penrose inverse in C*-algebras.
In this article, two results regarding the Moore-Penrose inverse in the frame of C*-algebras are considered. In first place, a characterization of the so-called reverse order law is given, which provides a solution of a problem posed by M. Mbekhta. On the other hand, Moore-Penrose hermitian elements, that is C*-algebra elements which coincide with their Moore-Penrose inverse, are introduced and studied. In fact, these elements will be fully characterized both in the Hilbert space and in the C*-algebra...
On the M-structure of the operator space L(CK)
On the multiplication and convolution of homogeneous distributions
On the multiplicity points of monotone operators on separable Banach spaces
On the -th birthday of Semen Samsonovich Kutateladze for .
On the non- and locally uniformly non- properties, and copies in Musielak-Orlicz spaces
On the non-commutative neutrix product involving slowly varying functions.
On the non-commutative neutrix product
The non-commutative neutrix product of the distributions and is proved to exist for and is evaluated for . The existence of the non-commutative neutrix product of the distributions and is then deduced for and evaluated for .
On the noncommutative neutrix product of distributions.
On the Non-commutative Neutrix Product of and
On the non-commutative neutrix product of and .
On the non-commutative neutrix product .
On the non-equivalence of rearranged Walsh and trigonometric systems in
We consider the question of whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in for some p ≠ 2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only.
On the nonexistence of bilipschitz parametrizations and geometric problems about A∞-weights.
How can one recognize when a metric space is bilipschitz equivalent to an Euclidean space? One should not take the abstraction of metric spaces too seriously here; subsets of Rn are already quite interesting. It is easy to generate geometric conditions which are necessary for bilipschitz equivalence, but it is not clear that such conditions should ever be sufficient. The main point of this paper is that the optimistic conjectures about the existence of bilipschitz parametrizations are wrong. In...
On the non-existence of linear isomorphisms between Banach spaces of analytic functions of one and several complex variables
On the non-existence of norms for some algebras of functions
Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for where ℝ is the reals.
On the nonsquare constants of the Orlicz function space L(Φ) [0, +∞).
Let L(Φ) [0, +∞) be the Orlicz function space generated by N-function Φ(u) with Luxemburg norm. We show the exact nonsquare constant of it when the right derivative φ(t) of Φ(u) is convex or concave.
On the norm of a projection onto the space of compact operators
Let X and Y be Banach spaces and let 𝓐(X,Y) be a closed subspace of 𝓛(X,Y), the Banach space of bounded linear operators from X to Y, containing the subspace 𝒦(X,Y) of compact operators. We prove that if Y has the metric compact approximation property and a certain geometric property M*(a,B,c), where a,c ≥ 0 and B is a compact set of scalars (Kalton's property (M*) = M*(1, {-1}, 1)), and if 𝓐(X,Y) ≠ 𝒦(X,Y), then there is no projection from 𝓐(X,Y) onto 𝒦(X,Y) with norm less than max|B| + c....
On the norm of certain weighted composition operators on the Hardy space.