The invention concerns a roller (100) for use in the processing of a continuous strip (B) of paper, textile fabric, sheet plastic, sheet metal or similar material. It includes a hollow roller (2) made of fibre-reinforced plastic and a cross-beam (1) which passes through the whole length of the hollow roller (2) and is mounted at its ends (1', 1') on external mountings so that it cannot rotate. Fitted on the cross-beam (1) are hydrostatic support elements (10) which can be pressed, on the pressure-application side, by means of hydraulic fluid, against the inside surface (8) of the hollow roller (1). The length of the support elements (10) in the direction of the longitudinal axis of the hollow roller (2) is not greater than 20 cm, they are disposed closely one beside the other along the cross-beam (1) and they can each be controlled independently.