On Besselian Schauder Bases in l... (E).
On bounded approximation properties of Banach spaces
This survey features some recent developments concerning the bounded approximation property in Banach spaces. As a central theme, we discuss the weak bounded approximation property and the approximation property which is bounded for a Banach operator ideal. We also include an overview around the related long-standing open problem: Is the approximation property of a dual Banach space always metric?
On bounded Dual-valued derivations on certain Banach algebras
On boundedness of superposition operators in spaces of Triebel-Lizorkin type
On boundedness of weighted Hardy operator in and regularity condition.
On Calderón-Toeplitz Operators.
On certain classes of commutators.
On certain classes of variational inequalities and related iterative algorithms.
On certain subsets of Bochner integrable function spaces.
One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite dimension, if and only if every bounded subset is weakly relatively compact or norm relatively compact, respectively.On the other hand, Banach spaces of the type C(K) and Lp(μ) play a vital role in the general theory of Banach spaces. Their structure is so...
On chaotic order of indefinite type.
On Characterizations of Nuclear Spaces and Quasi-Integral Operators.
On class A operators
We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.
On class operators and quasisimilarity.
On Commuting Families Of Subnormal Operatores
On commuting isometries
On Commuting Unbounded Self-Adjoint Operators. III.
On continuity of linear transformations commuting with generalized scalar operators (Preliminary communication)
On continuous composition operators
Let I ⊂ ℝ be an interval, Y be a normed linear space and Z be a Banach space. We investigate the Banach space Lip₂(I,Z) of all functions ψ: I → Z such that , where [r,s,t;ψ]:= ((s-r)ψ(t)+(t-s)ψ(r)-(t-r)ψ(s))/((t-r)(t-s)(s-r)). We show that ψ ∈ Lip₂(I,Z) if and only if ψ is differentiable and its derivative ψ’ is Lipschitzian. Suppose the composition operator N generated by h: I × Y → Z, (Nφ)(t):= h(t,φ(t)), maps the set (I,Y) of all affine functions φ: I → Y into Lip₂(I,Z). We prove that if N is...
On convergence of iterates of the Frobenius-Perron operator for expanding mappings
On convexity of composition and multiplication operators on weighted Hardy spaces.