Maps preserving convergence of series
Marcinkiewicz multipliers of higher variation and summability of operator-valued Fourier series
Let , where, for 1 ≤ r < ∞, (resp., ) denotes the class of functions (resp., bounded functions) g: → ℂ such that g has bounded r-variation (resp., uniformly bounded r-variations) on (resp., on the dyadic arcs of ). In the author’s recent article [New York J. Math. 17 (2011)] it was shown that if is a super-reflexive space, and E(·): ℝ → () is the spectral decomposition of a trigonometrically well-bounded operator U ∈ (), then over a suitable non-void open interval of r-values, the condition...
Matrix characterization of oscillation for double sequences
The notion of oscillation for ordinary sequences was presented by Hurwitz in 1930. Using this notion Agnew and Hurwitz presented regular matrix characterization of the resulting sequence space. The primary goal of this article is to extend this definition to double sequences, which grants us the following definition: the double oscillation of a double sequence of real or complex number is given P-lim sup(m,n)→∞;(α,β)→∞|S m,n-S α,β|. Using this concept a matrix characterization of double oscillation...
Matrix continued fractions related to first-order linear recurrence systems.
Matrix Methods Which Sum Sequences Of Bounded k-Variation
Matrix summability and a generalized Gibbs phenomenon.
Matrix summability of divergent sequences
Matrix transformation between series and sequences.
Matrix transformation of sequences of bounded variation
Matrix transformations and almost convergence
Matrix transformations and convex spaces.
Matrix transformations and Walsh's equiconvergence theorem.
Matrix transformations between the sequence space Bv^p and certain bk spaces
Matrix transformations between the spaces of Cesàro sequences and invariant means.
Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods.
Matrix transformations involving analytic sequence spaces.
Matrix transformations involving analytic sequence spaces (Errata).
Matrix transformations of starshaped sequences.
Matrix transformations on nuclear Köthe spaces
Matrix Transormations of Almost Convergent Sequenes. II.