To add more color to cjm's excellent answer, the "Hollow Earth" Wiki has a whole big list of historical theories, from ancient world and primitive tribes, to 17-18th century, up through 21st.
It also mentions "megastructures that have some similarities to a hollow Earth – Dyson sphere and Globus Cassus" which your question mentioned.
Among the most interesting ideas are "Concave hollow Earths" as well as "Multiple concentric shells", both of which actually contradict cjm's statement that the fundamental quality of a hollow world is that it is a large, hollow, more-or-less spherical object, and creatures live on the inside surface of it:
As far as concentric spheres, Edmond Halley (the astronomer of the Halley's Coment fame):
... in 1692 put forth the idea of Earth consisting of a hollow shell about 800 km (500 mi) thick, two inner concentric shells and an innermost core, about the diameters of the planets Venus, Mars, and Mercury. Atmospheres separate these shells, and each shell has its own magnetic poles. The spheres rotate at different speeds. Halley proposed this scheme in order to explain anomalous compass readings.
Also, another curious theory had us living on the inside of the sphere:
Instead of saying that humans live on the outside surface of a hollow planet, sometimes called a "convex" hollow-Earth hypothesis, some have claimed that our universe itself lies in the interior of a hollow world, calling this a "concave" hollow-Earth hypothesis. The surface of the Earth, according to such a view, might resemble the interior shell of a sphere.
Aside from its weirdness/elegance, this latter theory is notable for this website since it was the basis of the worldview of an alien world in one of the most famous Soviet SciFi novels, "Inhabited Island"