This is the situation: I live quite far up north (Trondheim, Norway), and wish to achieve greater diversity in yield from the garden. Although the climate is not as tough as the position would suggest (see http://en.wikipedia.org/wiki/Geography_of_Norway#Climate) due to major influence of the gulf stream, many fruit trees don't thrive so very well outdoors. This made me consider building a greenhouse, for example for mediterranean fruits as oranges and grapes. In case this would be achievable, I would even consider tropical fruits as bananas and mango.
My question is this: how well would these types of mediterranean (and perhaps tropical) fruit thrive in a northern greenhouse? Would the minimal amount of sunlight be a problem, or is it mainly the temperature that these trees need?