Analysis Mathematica
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The pointwise James type constant
Analysis Mathematica - Tập 49 - Trang 651-659 - 2023
In 2008, Takahashi introduced the James type constants. We discuss here the pointwise James type constant: for all x ∈ X, ∥x∥ = 1,
We show that in almost transitive Banach spaces, the map x ∈ X, ∥x∥ = 1 ↦ J(x, X, t) is constant. As a consequence and having in mind the Mazur’s rotation problem, we prove that for almost transitive ......
On the absence of stability of bases in some Fréchet spaces
Analysis Mathematica - Tập 46 - Trang 761-768 - 2020
We show that, for each compact subset of the real line of infinite cardinality with an isolated point, the space of Whitney jets on the set does not possess a basis consisting only of polynomials. On the other hand, polynomials are dense in any Whitney space. Thus, there are no general results about stability of bases in Fréchet spaces.
Comparison of certain summability methods by speeds of convergence
Analysis Mathematica - Tập 29 - Trang 227-242 - 2003
We deal with families of summability methods which depend on a continuous parameter and where two different methods are connected either by a Cesàro-type or Euler–Knopp-type method. Extending and applying some results of [14], we are able to compare speeds of convergence in families of generalized Nörlund methods and to give certain Tauberian remainder theorems. Particular cases are the families o......
Lower estimate of Tandori’s norm
Analysis Mathematica - Tập 40 - Trang 25-30 - 2014
The conventional monotonicity hypothesis on the coefficients given in the sharpest lower estimate of the celebrated Tandori-norm is weakened to locally almost monotonicity assumption.
A Characterization of Unitary-Antiunitary Similarity Transformations via Kubo–Ando Means
Analysis Mathematica - Tập 45 - Trang 311-319 - 2018
In this note, we characterize all those bijective transformations on the set of positive semidefinite matrices which preserve an arbitrary unitarily invariant norm of any given Kubo–Ando mean corresponding to an n-monotone strictly concave generating function. This result strengthens a former theorem of Molnár and Szokol.
Об абсолютной суммируемости рядов Фурье почти-периодических функций
Analysis Mathematica - Tập 39 - Trang 259-270 - 2013
In the article we establish some criteria of absolute summability of Fourier series of almost periodic functions in the Besicovitch space. We consider the case where the Fourier exponents have a limit point at infinity.
A remark on the continuity of metric projections
Analysis Mathematica - Tập 4 - Trang 13-15 - 1978
Доказывается, Что мет рическая проекция че бышевского подпространства кон ечной ко-размерности в рефл ексивном банаховом п ространстве является слабо непре рывной. С помощью этого резул ьтата дается отрицат ельный ответ на следующий во прос В. Клее: «Следует ли из слабой непрерывности метри ческой проекции ее непрерыв ность по норме?»
Composition Operators and Closures of Dirichlet Type Spaces Dμ in Bloch Type Spaces
Analysis Mathematica - Tập 45 - Trang 121-132 - 2018
We characterize the closure of Dirichlet type spaces Dμ in Bloch type spaces. Moreover, we study the boundedness and compactness of composition operators from Bloch type spaces to closures of Dirichlet type spaces Dμ in Bloch type spaces.
On interpolating discrete varieties for weighted spaces of entire functions
Analysis Mathematica - Tập 29 - Trang 59-74 - 2003
We study interpolating discrete varieties for weighted spaces Ap(Cn) of entire functions such that supz∈C
n|f(z)|exp(-B p(z))<∞ for some B>0. We give a necessary and sufficient condition for a finite union of interpolating discrete varieties to be itself interpolating. Then we use L2 techniques for ∂ to give a sufficient geometric interpolating condition.
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