Affordable Access

On the relationships between $H^p(\mathbb{T} ,X/Y)$ and $H^p(\mathbb{T} ,X)/H^p(\mathbb{T} ,Y)$

Universitat de Barcelona
Publication Date


First we show that for every $1\leq p <\infty$ the space $H^p(\mathbb{T}, L^1(\lambda)/H^1)$ cannot be naturally identified with $H^p(\mathbb{T}, L^1(\lambda))/H^p(\mathbb{T},H^1)$. Next we show that if $Y$ is a closed locally complemented subspace of a complex Banach space $X$ and $0 < p <\infty$, then the space $H^p(\mathbb{T},X/Y )$ is isomorphic to the quotient space $H^p(\mathbb{T},X)/H^p(\mathbb{T}, Y )$. This allows us to show that all odd duals of the James Tree space $JT_2$ have the analytic Radon-Nikodym property.

There are no comments yet on this publication. Be the first to share your thoughts.


Seen <100 times

More articles like this

Synthesis and structure–activity relationships of...

on Bioorganic & Medicinal Chemist... Jan 01, 2010

Metabotropic P2Y1receptors inhibit P2X3receptor-ch...

on European Journal of Pharmacolo... Jan 01, 2005

Blockade of murine T cell activation by antagonist...

on Biochemical and Biophysical Re... Jan 01, 2009

Differential sensitivity of human platelet P2X1and...

on Biochemical and Biophysical Re... Jan 01, 2006
More articles like this..