On a Problem of R.V. Kadison on Maximal Abelian *-Subalgebras in Factors.
On a property of Gram's determinant.
On a property of Riesz spaces
On a property of the Fourier transform.
On a Property of the Norm which is Close to Local Uniform Rotundity.
On a question of A. Wilansky in normed algebras
On a question of
In this short article we answer the question posed in Ghadermazi M., Karamzadeh O.A.S., Namdari M., On the functionally countable subalgebra of , Rend. Sem. Mat. Univ. Padova 129 (2013), 47–69. It is shown that is isomorphic to some ring of continuous functions if and only if is functionally countable. For a strongly zero-dimensional space , this is equivalent to say that is functionally countable. Hence for every -space it is equivalent to pseudo--compactness.
On a question of Fremlin concerning order bounded and regular operators
On a question of H.H. Corson and some related problems
On a question of Mbekhta.
The present paper deals with a question of M. Mbekhta concerning partial isometries on Banach spaces.
On a Question of Pełczyński about Strictly Singular Operators
We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.
On a recent result of G. Pisier
On a relation between norms of the maximal function and the square function of a martingale
Let Ω be a nonatomic probability space, let X be a Banach function space over Ω, and let ℳ be the collection of all martingales on Ω. For , let Mf and Sf denote the maximal function and the square function of f, respectively. We give some necessary and sufficient conditions for X to have the property that if f, g ∈ ℳ and , then , where C is a constant independent of f and g.
On a result of Adasch and Ernst.
On a result of J. Johnson
On a result of K.M. Saidukov
On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for
On a result of Peetre about interpolation of operator spaces
We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.
On a semigroup of modular functions with involution.
On a simultaneous selection theorem
Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.