As an important step towards an atomic parity violation experiment in one single trapped Ra$^+$ ion, laser spectroscopy experiments were performed with on-line produced short-lived $^{212,213,214}$Ra$^+$ ions. The isotope shift of the $6,^2$D$_{3/2}$,-,$7,^2$P$_{1/2}$ and $6,^2$D$_{3/2}$,-,$7,^2$P$_{3/2}$ transitions and the hyperfine structure constant of the $7,^2$S$_{1/2}$ and $6,^2$D$_{3/2}$ states in $^{213}$Ra$^+$ were measured. These values provide a benchmark for the required atomic theory. A lower limit of $232(4)$ ms for the lifetime of the metastable $6,^2$D$_{5/2}$ state was measured by optical shelving.
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