SUBDIFFERENTIALS, LOCAL e-SUPPORTS AND ASPLUND SPACES

Non-smooth Analysis, Optimisation Theory and Banach Space Theory

The questions listed here do not necessarily represent the most significant problems from the areas of Non-smooth Analysis, Optimisation theory and Banach space theory, but rather, they represent a selection of problems that are of interest to the authors. 1. Weak Asplund spaces Let X be a Banach space. We say that a function φ : X → R is Gâteaux differentiable at x ∈ X if there exists a contin...

Remarks on continuous images of Radon-Nikodým compacta

A family of compact spaces containing continuous images of Radon-Nikodým compacta is introduced and studied. A family of Banach spaces containing subspaces of Asplund generated (i.e., GSG) spaces is introduced and studied. Further, for a continuous image of a Radon-Nikodým compact K we prove: If K is totally disconnected, then it is Radon-Nikodým compact. If K is adequate, then it is even Eberl...

Some New Algebras of Functions on Topological Groups Arising from G-spaces

We investigate new and old algebras of continuous functions on topological groups G arising from G-spaces and some associated linear representations G → Iso (V ) on Banach spaces V . The topological group G = H+[0, 1] of orientation preserving homeomorphisms on the closed interval does not admit non-trivial continuous representations G → Iso (V ) when V is a reflexive Banach space (an equivalen...

Oxygen abundances in metal - poor subgiants as determined from [ O i ] , O i and OH lines ⋆

Dissection of Microbial Community Functions during a Cyanobacterial Bloom in the Baltic Sea via Metatranscriptomics

Citation: Berg C, Dupont CL, Asplund-Samuelsson J, Celepli NA, Eiler A, Allen AE, Ekman M, Bergman B and Ininbergs K (2018) Dissection of Microbial Community Functions during a Cyanobacterial Bloom in the Baltic Sea via Metatranscriptomics. Front. Mar. Sci. 5:55. doi: 10.3389/fmars.2018.00055 Dissection of Microbial Community Functions during a Cyanobacterial Bloom in the Baltic Sea via Metatra...