RT Journal Article
T1 Interpolation of the inner measure of bilinear operators by the real method
A1 Cobos Díaz, Fernando
A1 Fernández-Cabrera Marín, Luz María
A1 Martínez. Antón, 
AB We describe a procedure for extending the inner measure $\beta_{_{\mathcal{I}}}$ associated to an operator ideal $\mathcal{I}$ to a measure $\beta_{_{\mathfrak{J}}}$ for bounded bilinear operators $T$. When $\mathcal{I}$ is injective and close, we show that $\beta_{_{\mathfrak{J}}}(T)=0$ if and only if $T=RS$ for some bounded bilinear operator $S$ and $R\in\mathcal{I}$. If $\mathcal{I}$ satisfies the $\Sigma_r$-condition, then we establish a convexity inequality for the measure  $\beta_{_{\mathfrak{J}}}$ of a bilinear operator interpolated by the real method.
PB Springer
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120646
UL https://hdl.handle.net/20.500.14352/120646
LA eng
NO 2025 Acuerdos transformativos CRUE
NO Ministerio de Ciencia, Innovación y Universidades
DS Docta Complutense
RD 16 dic 2025