Inequality in Banach spaces - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-22T22:48:34Z http://mathoverflow.net/feeds/question/59048 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/59048/inequality-in-banach-spaces Inequality in Banach spaces Sanket A. A. Tikare 2011-03-21T10:45:52Z 2011-03-21T10:45:52Z <p>A bilinear triple of Banach spaces is defined as: $B:X\crossY\rightarrow Z$, where $X,Y,Z$ are Banch spaces and $B$ is linear in both the variables. Let $F:[a,b]\rightarrow Z$ and $G:[a,b]\rightarrow Y$ be two functions then my question is that whether the following type of inequality holds or not?</p> <p>$\|F\|_Z\ leq \|G\|_Y$.</p>