Absorption spectra for O-16(3) and O-18(3) near 1 mu have been recorded to explore the rotational structure associated with the (3)A(2) and B-3(2) electronic states of ozone. Rotational features within the (3)A(2)<--(1)A(1) 1-0 band respond predictably to isotopic substitution, enabling determination of the upper state adiabatic electronic energy and asymmetric stretching frequency via isotope shift techniques. We find an adiabatic energy of 9963+/-4 cm(-1), in excellent agreement with that determined earlier from vibronic isotope shifts observed at lower resolution, 9990+/-70 cm(-1). We also find an asymmetric stretching frequency of 367+/-17 cm(-1), indicating that the (3)A(2) state potential energy surface is bound against dissociation to O+O-2 despite the fact that it lies above the corresponding dissociation limit. Rotational structure associated with transitions to the B-3(2) state is detected for the first time. It responds anomalously to O-18 substitution. The geometry of the upper state for O-18(3) appears to differ markedly from that for O-16(3) (Delta theta approximate to-4 deg, or Delta r(e) approximate to+0.07A), suggesting that the B-3(2) surface is strongly anharmonic and precluding a straightforward analysis of the isotope shifts.