Reddit reviews Being as Communion: Studies in Personhood and the Church (Contemporary Greek Theologians Series, No 4)

The doctrine of the Trinity has very serious implications for human life and relationship. The idea of person assumes a communal and relational existence. I recommend reading Being As Communion by John Zizioulas. It's heavy, but a very very good resource on this topic.

EDIT

You can read a good deal of it here: http://books.google.com/books?id=l4yaKM9SRQ8C&printsec=frontcover&dq=being+as+communion&source=bl&ots=bHc_2oLKNr&sig=9KDCIFVWW724DCdWaR9XPCrLBJs&hl=en&sa=X&ei=lZIFUJ3SL-Hg2AWJsr2zBQ&ved=0CDQQ6AEwAA#v=onepage&q&f=false

The introduction should tackle a few of those questions.

I think Pope Francis is sincere, but I also think that it is more complicated than merely "doing what is needed to heal the breach." The Schism is as much about people as it is about theology. Human beings and the relationships between them are complicated at the best of times. The self-understanding of these two communities has been distinct for so long that it is easier to argue than to find common ground. There are currently "Byzantine" Churches in communion with Rome and it hasn't worked out terribly well for a lot of them (though there have been bright spots).

If I might be so bold, the "liberal" people (I don't like that word, but I don't have another one) in both camps can hardly see the point in being separate, though they would like to change things in both their Churches in other ways that would make them unrecognizable. The challenge is to have the "conservative" people satisfied with the process and expected result of re-approachment, enough to establish common cause between them. A traditional Catholic has to see that the Orthodox showing up won't force them to budge on things that they are fighting with progressives in their own Church about. The same with the Orthodox. The famous resistor of "false union" Bishop Mark of Ephesus doesn't just appeal to those seeking to preserve the Orthodox faith, but also traditionally committed Catholics.

And what happens if the Catholics are willing to compromise on a great many things, but the Orthodox get difficult on some point? Would not the Catholics feel abused? "We've come all this way and it hurts us and you still won't give up on point 9?" This has been the problem with the Miaphysites. It looks like all the theological issues have been resolved, but we seem to be left with Saints and Anathemas on both sides that have rooted the problem beyond reconciliation. We seem to be "right there" except we have beloved saints on both sides that effectively said, "you can never go there." What do we do with these saints? How do we understand them?

As for something to read. There are several books depending on your interest in using big words. :)

Lossky would be the heavy weight: http://www.amazon.com/The-Mystical-Theology-Eastern-Church/dp/0913836311/

Though I much prefer Zizioulas, more approachable and puts apophatic theology in balance: http://www.amazon.com/Being-Communion-Personhood-Contemporary-Theologians/dp/0881410292/

Of course Bishop Timothy Ware's book is the usual "internet standard recommendation: http://www.amazon.com/The-Orthodox-Way-Kallistos-Ware/dp/0913836583/

If you want something very approachable (almost no technical terms) and a little more "what does this mean" you might try an introduction to sacramental theology in general: http://www.amazon.com/For-Life-World-Sacraments-Orthodoxy/dp/0913836087/

And probably the least "theological" but I think this is both my wife and my favorite: http://www.amazon.com/Bread-Water-Wine-Oil-Experience/dp/1888212918/

I enjoyed Being as Communion by John Zizioulas when I read it a few years ago.