Results 1 to 10 of about 95 (92)
Surjective isometries on Banach sequence spaces: A survey
Concrete Operators, 2022 Abstract In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces.
Leandro Antunes, Kevin Beanland
exaly +4 more sources
On the β-Dual of Banach-Space-Valued Difference Sequence Spaces [PDF]
Ukrainian Mathematical Journal, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhardwaj, V.K., Gupta, S.
exaly +3 more sources
Extendibility of bilinear forms on banach sequence spaces [PDF]
Israel Journal of Mathematics, 2014 We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize $c_0$ in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits extensions to any superspace.
Daniel Carando +2 more
exaly +6 more sources
Banach spaces of GLT sequences and function spaces
The Electronic Journal of Linear Algebra, 2022 Generalized locally Toeplitz (GLT) sequences of matrices originated from the spectral study of certain partial differential equations. To be more precise, such matrix sequences arise when we numerically approximate either partial differential equations or fractional differential equations using any discretization by local methods (finite differences ...
Kumar, V. B. Kiran +2 more
openaire +3 more sources
On linear independence of sequences in a Banach space [PDF]
Pacific Journal of Mathematics, 1953 This paper gives an answer to a problem raised by \textit{A. Dvoretzky}: given a sequence of (algebraically) linearly independent unit vectors of a Banach space, does there exists a subsequence linearly independent in some stronger sense? The authors prove that, given any positively valued function \(\varphi(n)\), every sequence of linearly independent
Erdös, P., Straus, E. G.
openaire +3 more sources
AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES [PDF]
Glasgow Mathematical Journal, 2013 AbstractLet 1 ≤ p < ∞. A sequence 〈 xn 〉 in a Banach space X is defined to be p-operator summable if for each 〈 fn 〉 ∈ lw*p(X*) we have 〈〈 fn(xk)〉k〉n ∈ lsp(lp). Every norm p-summable sequence in a Banach space is operator p-summable whereas in its turn every operator p-summable sequence is weakly p-summable.
Karn, Anil Kumar, Sinha, Deba Prasad
openaire +2 more sources
On Approximate Operator Representations of Sequences in Banach Spaces [PDF]
Complex Analysis and Operator Theory, 2021 Generalizing results by Halperin et al., Grivaux recently showed that any linearly independent sequence $\{f_k\}_{k=1}^\infty$ in a separable Banach space $X$ can be represented as a suborbit $\{T^{α(k)}φ\}_{k=1}^\infty$ of some bounded operator $T: X\to X.$ In general, the operator $T$ and the powers $α(k)$ are not known explicitly.
Ole Christensen +2 more
openaire +3 more sources
On spreading $c_0$-sequences in Banach spaces [PDF]
Studia Mathematica, 1999 The author introduces the notions of spreading-\((s)\) and spreading-\((u)\). The main results proved: spreading-\((s)\) implies spreading-\((u)\) and some necessary and sufficient conditions for spreading-\((s)\) and spreading-\((u)\).
openaire +3 more sources
Multipliers for p-Bessel Sequences in Banach Spaces [PDF]
Integral Equations and Operator Theory, 2010 17 ...
Rahimi, Asghar, Balazs, Peter
openaire +3 more sources
A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES
Demonstratio Mathematica, 1995 A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
openaire +2 more sources