Transducer apparatus, comprising: - a tube having a lumen surrounded by a wall, in particular a metallic wall, - and a sensor assembly, which sensor assembly comprises: - a temperature sensor, particular temperature sensor manufactured in particular using thin-film technology or formed by means of at least one platinum measuring resistor; - a metallic carrier element, in particular monolithic and/or clamp like shaped metallic carrier element, for holding the temperature sensor -- with a, in particular plate-shaped, central segment, -- with a plate-shaped first end segment adjoining a first end of the middle segment -- and with a plate-shaped second end segment adjoining a second end of the center segment remote from the first end; - and a, in particular at least partially enclosing and/or metallic, coupling body, thermally conductive coupling the temperature sensor and the carrier element; wherein the temperature sensor and the coupling body are connected to one another by a material bond and are arranged together on a first surface (12+) of the carrier element, - and wherein the coupling body is connected to the carrier element, in particular to its central segment, forming a coupling body-to-support connection zone; - wherein the carrier element of the sensor assembly is arranged on the surface (21+) of the wall of the tube facing away from the lumen and is connected to the said wall by a material bond, in particular by being welded and/or soldered thereto, -- wherein the carrier element is arranged on a hollow cylindrical segment of the wall, -- and wherein the carrier element contacts the wall of the tube with a, in particular planar, second surface (12#) opposite the first surface (12+) of the carrier element at least in certain areas; and wherein a smallest bending stiffness EI12ad, which the centre segment has in the region of the coupling body-to-support element connection zone at least, is greater than a smallest bending stiffness EI12, which the support element has overall, and/or is greater than a smallest bending stiffness EI12bd, which the first end segment has, and/or is greater than a smallest bending stiffness EI12cd, which the second end segment has. - a tube having a lumen surrounded by a wall, in particular a metallic wall, - and a sensor assembly, which - a temperature sensor, particular temperature sensor manufactured in particular using thin-film technology or formed by means of at least one platinum measuring resistor; - a metallic carrier element, in particular monolithic and/or clamp like shaped metallic carrier element, for holding the temperature sensor -- with a, in particular plate-shaped, central segment, -- with a plate-shaped first end segment adjoining a first end of the middle segment -- and with a plate-shaped second end segment adjoining a second end of the center segment remote from the first end; -- with a, in particular plate-shaped, central segment, -- with a plate-shaped first end segment adjoining a first end of the middle segment -- and with a plate-shaped second end segment adjoining a second end of the center segment remote from the first end; - and a, in particular at least partially enclosing and/or metallic, coupling body, thermally conductive coupling the temperature sensor and the carrier element; - and wherein the coupling body is connected to the carrier element, in particular to its central segment, forming a coupling body-to-support connection zone; - wherein the carrier element of the sensor assembly is arranged on the surface (21+) of the wall of the tube facing away from the lumen and is connected to the said wall by a material bond, in particular by being welded and/or soldered thereto, -- wherein the carrier element is arranged on a hollow cylindrical segment of the wall, -- and wherein the carrier element contacts the wall of the tube with a, in particular planar, second surface (12#) opposite the first surface (12+) of the carrier element at least in certain areas; -- wherein the carrier element is arranged on a hollow cylindrical segment of the wall, -- and wherein the carrier element contacts the wall of the tube with a, in particular planar, second surface (12#) opposite the first surface (12+) of the carrier element at least in certain areas;