Generalized injectivity of Banach modules
Abstract
In this paper, we study the notion of $\phi$-injectivity in the special case that $\phi=0$. For an arbitrary locally compact group $G$, we characterize the 0-injectivity of $L^{1}(G)$ as a left $L^{1}(G)$ module. Also, we show that $L^{1}(G)^{**}$ and $L^{p}(G)$ for $1<p<\infty$ are 0-injective Banach $L^{1}(G)$ modules.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2015
- DOI:
- 10.48550/arXiv.1502.04506
- arXiv:
- arXiv:1502.04506
- Bibcode:
- 2015arXiv150204506F
- Keywords:
-
- Mathematics - Functional Analysis;
- 46M10;
- 43A20;
- 46H25
- E-Print:
- 8 pages