Results 11 to 20 of about 390,931 (263)
Journal of Mathematical Analysis and Applications, 2018 Recall that a Banach space \(X\) is said to be subprojective if every infinite-dimensional subspace of \(X\) has an infinite-dimensional subspace which is complemented in \(X\). The authors prove that separable Nakano sequence spaces \(\ell_{(p_{n})}\) are subprojective. Moreover, by using the results of \textit{F. L. Hernández} and \textit{C. Ruiz} [J.
Ruiz, César, Sánchez, Víctor M.
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Decompositions of Nakano norms by ODE techniques [PDF]
Annales Academiae Scientiarum Fennicae: Mathematica, 2018 We study decompositions of Nakano type varying exponent Lebesgue norms and spaces. These function spaces are represented here in a natural way as tractable varying $\ell^p$ sums of projection bands. The main results involve embedding the varying Lebesgue
Talponen, Jarno
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Nakano positivity of singular Hermitian metrics and vanishing theorems \n of Demailly–Nadel–Nakano type [PDF]
Algebraic Geometry, 2022 In this article, we propose a definition of Nakano semi-positivity of singular Hermitian metrics on holomorphic vector bundles. By using this positivity notion, we establish $L^2$-estimates for holomorphic vector bundles with Nakano positive singular Hermitian metrics.
Takahiro Inayama
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Kannan Prequasi Contraction Maps on Nakano Sequence Spaces
Journal of Function Spaces, 2020 In this article, we explore the concept of the prequasi norm on Nakano special space of sequences (sss) such that its variable exponent in 0 ,
Awad A. Bakery +1 more
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Rademacher functions in Nakano spaces [PDF]
Analysis & PDE, 2016 The closed span of Rademacher functions is investigated in Nakano spaces Lp(⋅) on [0,1] equipped with the Lebesgue measure. The main result of this paper states that under some conditions on distribution of the exponent function p the Rademacher functions form in Lp(⋅) a basic sequence equivalent to the unit vector basis in l2.
Astashkin, Sergey, Mastyło, Mieczysław
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DUAL NAKANO POSITIVITY AND SINGULAR NAKANO POSITIVITY OF DIRECT IMAGE SHEAVES [PDF]
Nagoya Mathematical Journal, 2023 AbstractLet $f:X\to Y$ be a surjective projective map, and let L be a holomorphic line bundle on X equipped with a (singular) semi-positive Hermitian metric h. In this article, by studying the canonical metric on the direct image sheaf of the twisted relative canonical bundles $K_{X/Y}\otimes L\otimes \mathscr {I}(h)$ , we obtain that this metric ...
Yuta Watanabe
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Nakano–Nadel type, Bogomolov–Sommese type vanishing and singular dual Nakano semi-positivity
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2022 In this article, we get properties for singular (dual) Nakano semi-positivity and obtain vanishing theorems involving L 2 -subsheaves on weakly pseudoconvex manifolds by L 2 -estimates and L 2 -type Dolbeault isomorphisms. As applications, Fujita’s conjecture type theorem with singular Hermitian metrics is presented.
Yuta Watanabe
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On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions [PDF]
Representation Theory: An Electronic Journal of the AMS, 2022 Important connections in representation theory arise from resolving a finite-dimensional algebra by an endomorphism algebra of a generator-cogenerator with finite global dimension; for instance, Auslander’s correspondence, classical Schur–Weyl duality ...
Tiago Cruz
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Journal of Function Spaces, 2022 We have defined and studied the weighted Nakano sequence spaces of fuzzy functions. We have constructed the ideal generated by extended s -fuzzy functions and the sequence spaces of fuzzy functions.
A. Bakery, E. Mohamed
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A note on Nakano generalized difference sequence space
Advances in Differential Equations, 2020 In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
A. Bakery, Afaf R. Abou Elmatty
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