Results 111 to 120 of about 2,451 (228)
The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces
Journal of Function Spaces, 2019 It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang +2 more
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Multipliers of pg-Bessel sequences in Banach spaces
, 2015 14 ...
Abdollahpour, Mohammad Reza +2 more
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On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits
Abstract and Applied Analysis, 2012 The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that both dominate and generate ...
Metin Başarır, Şükran Konca
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Moduli and Characteristics of Monotonicity in Some Banach Lattices
Fixed Point Theory and Applications, 2010 First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
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Frames and Riesz bases for Banach spaces, and Banach spaces of vector-valued sequences
Banach Journal of Mathematical Analysis, 2013 The authors give some relationships between Bessel sequences (respectively, frames) and Riesz sequences (respectively, Riesz bases). Atomic decomposition and Banach frames in Banach spaces are also discussed. Finally, Banach spaces consisting of Bessel or Riesz sequences are introduced and it is proved that they are isometrically isomorphic to some ...
Cho, Kyugeun, Kim, Ju Myung, Lee, Han Ju
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On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0
Dera Natung Government College Research JournalIn this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
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Ball remotality in Banach spaces
, 2010 In this paper, we continue our study of ball remotality of subspaces of Banach spaces. In particular, we study the problem in classical sequence spaces c0, c, ℓ1 and ℓ∞; and also ball remotality of a Banach space in its ...
Paul, Tanmoy, Bandyopadhyay, Pradipta
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Limit points of arithmetic means of sequences in Banach spaces [PDF]
, 2000 summary:We shall prove the following statements: Given a sequence $\{a_n\}_{n=1}^{\infty}$ in a Banach space $\bold X$ enjoying the weak Banach-Saks property, there is a subsequence (or a permutation) $\{b_n\}_{n=1}^{\infty}$ of the sequence $\{a_n\}_{n ...
Lávička, Roman
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Group-Frames for Banach Spaces
, 2023 In the literature, frames generated by unitary representations of groups (known as group-frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces generated by isometric invertible representations of discrete groups on ...
Krishna, K. Mahesh
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, 2014 У статті розкрито теоретичні основи банахових просторів, зв'язок метричного та нормованого просторів, встановлений зв'язок між фундаментальність послідовності та її збіжністю в банахових просторах.The article deals with the theoretical foundations of ...
Новак Ю. М., Novak Yu. M.
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