I am looking for a good reference on Orlicz spaces; I would appreciate any books treating this topic from the Banach-space perspective. For example, I would like to find a reference to the following fact that every Orlicz space is complemented in its bidual. (This is clear for reflexive Orlicz spaces, of course.)
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1$\begingroup$ Here's a plug ... Chapter 2 in amazon.com/… $\endgroup$– Gerald EdgarCommented Jun 12, 2014 at 14:41
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$\begingroup$ $805.92?!?!?!?! $\endgroup$– Bill JohnsonCommented Mar 19, 2016 at 4:36
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$\begingroup$ @BillJohnson ... "only" $190 from the publisher. And half that in soft cover. $\endgroup$– Gerald EdgarCommented Apr 17, 2016 at 12:52
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1$\begingroup$ And free if you like to be a pirate. $\endgroup$– AlanCommented May 17, 2016 at 8:00
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1 Answer
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I can suggest you the books:
(1) Krasnoselskii, Rutickii, Convex functions and Orlicz spaces
(2) Rao, Ren, Theory of Orlicz spaces
(3) Chapter 4 of Volume 1 of the book Lindenstrauss-Tzafriri, Classical Banach spaces contains interesting material on Orlicz sequence spaces.
(4) Orlicz function spaces are dealt with in the second volume of Lindenstrauss-Tzafriri, but usually in a more general context.