An adapter for connecting, in particular, respiratory implements such as tubes, tube extensions, filters, breather bags, or artificial noses to a tube having a particularly conically tapered connector. the adapter has a clamping section that may be fixed to the connector in a frictionally engaged manner. The clamping section of the adapter may be radially expanded from a first clamping position in which the inner diameter of the clamping section is less than the outer diameter of the connector into a second release position in which the inner diameter of the clamping section is greater than the outer diameter of the connector.