Results 51 to 60 of about 92,536 (264)

On an extension of a global implicit function theorem

Comptes Rendus. Mathématique, 2022
We study the existence of global implicit functions for equations defined on open subsets of Banach spaces. The partial derivative with respect to the second variable is only required to have a left inverse instead of being invertible. Generalizing known
Berger, Thomas, Haller, Frédéric
doaj   +1 more source

Marine Macroalgae as a Safe Healthy Food While Meeting Food Security Challenges Arising From Climate Changes

Food Safety and Health, EarlyView.
Planned harvesting and processing of marine macroalgae could meet future global food needs and mitigate fuel‐originated carbon dioxide responsible for climate change. Microalgal foods are nutritious and safe. The utilization of macroalgae would avoid environmental problems arising from the release of overgrowing macroalgae caused by heatwaves, which ...
Upali Samarajeewa
wiley   +1 more source

Representation of Spaces of Entire Functions on Banach Spaces

Publications of the Research Institute for Mathematical Sciences, 2009
We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of
Ansemil, José M., Aron, Richard M., Ponte, Socorro   +2 more
openaire   +2 more sources

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, EarlyView.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces

Journal of Function Spaces, 2014
Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced
Chin-Tzong Pang, Eskandar Naraghirad
doaj   +1 more source

New Banach Sequence Spaces Defined by Jordan Totient Function

Communications in Advanced Mathematical Sciences, 2023
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
doaj   +1 more source

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source

Relationship Between Limiting K‐Spaces and J‐Spaces in the Real Interpolation

Mathematische Nachrichten, EarlyView.
ABSTRACT In the paper, “Description of the K$K$‐Spaces by Means of J$J$‐Spaces and the Reverse Problem,” Mathematische Nachrichten 296, no. 9 (2023), 4002–4031, we have established conditions under which the limiting K$K$‐space (X0,X1)0,q,b;K$(X_0,X_1)_{0,q,b;K}$, involving a slowly varying function b$b$, can be described by means of the J$J$‐space (X0,
Bohumír Opic, Manvi Grover
wiley   +1 more source

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Journal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
doaj   +1 more source

Thin-very tall compact scattered spaces which are hereditarily separable

, 2010
We strengthen the property $\Delta$ of a function $f:[\omega_2]^2\rightarrow [\omega_2]^{\leq \omega}$ considered by Baumgartner and Shelah. This allows us to consider new types of amalgamations in the forcing used by Rabus, Juh\'asz and Soukup to ...
Brech, Christina, Koszmider, Piotr
core   +1 more source