As easy as LaTeX

The main feature to use WordPress instead of any other hosting service was the possibility of using \text{\LaTeX} in a very comfortable way. Actually, the most popular blog on Mathematics could be Terry Tao’s page and he really (more than anyone else) write Mathematics expressions online.

For the sake of using \text{\LaTeX} for a first time let’s post a little definition on basic functional analysis:

Let X be a Banach space and T: X \to X an element of \mathcal{L}(X). We say T is mean ergodic if for all x \in X the sequence:

s_n = \frac{1}{n}\sum\limits_{j=0}^{n-1} T^jx

is convergent in X.

This is the main concept used in the partial solution of the problem relating ergodicity and reflexivity on Banach spaces.

Need help with LaTeX at WordPress?

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