5 papers
No pure capillary solitary waves exist in 2D finite depth
Mihaela Ifrim, Ben Pineau, Daniel Tataru +1
We prove that the 2D finite depth capillary water wave equations admit no solitary wave solutions. This closes the existence/non-existence problem for solitary water waves in 2D, u…
Free Banach lattices under convexity conditions
Héctor Jardón-Sánchez, Niels Jakob Laustsen, Mitchell A. Taylor +2
We prove the existence of free objects in certain subcategories of Banach lattices, including -convex Banach lattices, Banach lattices with upper -estimates, and AM-spaces. F…
A Schauder basis for consisting of non-negative functions
Daniel Freeman, Alexander M. Powell, Mitchell A. Taylor
We prove that contains a Schauder basis of non-negative functions. Similarly, contains a Schauder basic sequence of non-negative functions such…
Metrizability of minimal and unbounded topologies
Marko Kandić, Mitchell A. Taylor
In 1987, I. Labuda proved a general representation theorem that, as a special case, shows that the topology of local convergence in measure is the minimal topology on Orlicz spaces…
Completeness of Unbounded Convergences
Mitchell A. Taylor
As a generalization of almost everywhere convergence to vector lattices, unbounded order convergence has garnered much attention. The concept of boundedly uo-complete Banach lattic…