Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball.
Normal bases for non-archimedean spaces of continuous functions.
Normal bases for the space of continuous functions defined on a subset of Zp.
Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.
Norms of projections on L... [ - 1, 1] and C [ -1, 1].
Nota sobre el espacio de las funciones continuas en el producto cartesiano de dos espacios compactos.
Notes on interpolation of Hardy spaces
Let denote the usual Hardy space of analytic functions on the unit disc . We prove that for every function there exists a linear operator defined on which is simultaneously bounded from to and from to such that . Consequently, we get the following results :1) is a Calderon-Mitjagin couple;2) for any interpolation functor , we have , where denotes the closed subspace of of all functions whose Fourier coefficients vanish on negative integers.These results also extend to Hardy...
Nouvelles propriétés des espaces et
Nuclear Mappings on C(X).
Numerical index with respect to an operator
We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.
Obtainment of the norm in Bergman spaces.
Of the structure of the Euler mapping
On a canonical two-dimensional space of continuous functions
On a class of Banach spaces of analytic functions.
On a problem of Pełczyński: Milutin spaces, Dugundji spaces and AE(0-dim)
On a property of the Fourier transform.
On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for
On a Theorem of N.Th. Varopoulos.
On absolute retracts, P(S) and complemented subspaces of
On an orthonormal polynomial basis in the space C[-1,1]
We show that in the space C[-1,1] there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.
On automorphisms of the Banach space
We investigate Banach space automorphisms focusing on the possibility of representing their fragments of the form for A,B ⊆ ℕ infinite by means of linear operators from into , infinite A×B-matrices, continuous maps from B* = βB∖B into A*, or bijections from B to A. This leads to the analysis of general bounded linear operators on . We present many examples, introduce and investigate several classes of operators, for some of them we obtain satisfactory representations and for others give...