  Magnetically induced (MI) transitions (F${}_{g}$ = 1 $\rightarrow$ F${}_{e}$=
3) of ${}^{87}$Rb D${}_{2}$ line are among the most promising atomic
transitions for applications in laser physics. They reach their maximum
intensity in the 0.2--2 kG magnetic field range and are more intense than many
conventional atomic transitions. An important feature of MI transitions is
their large frequency shift with respect to the unperturbed hyperfine
transitions which reaches $\sim$12 GHz in magnetic fields of $\sim$ 3 kG, while
they are formed on the high-frequency wing of the spectrum and do not overlap
with other transitions. Some important peculiarities have been demonstrated for
the MI 5S${}_{1/2}$$\rightarrow$ 5P${}_{3/2}$ transitions ($\lambda$=780 nm).
Particularly, it was shown that using a nanocell with thickness $L= 100$~nm it
is possible to realize 1 $\mu$m-spatial resolution which is important when
determining magnetic fields with strong spatial gradient (of $>$~3G /$\mu$m).
Earlier, our studies have been performed for 5S${}_{1/2}$ $\rightarrow$
$n$P${}_{3/2}$ transition with $n = 5$, while it is also theoretically shown to
be promising for the transitions with $n = 6, 7, 8$ and $9$, corresponding to
the transition wavelengths of 420.2~nm, 358.7~nm, 334.9~nm and 322.8~nm,
respectively.
