```
Kastoryano, Michael, and Temme, Kristan.
```*Non-commutative Nash inequalities*. United States: N. p., 2016.
Web. doi:10.1063/1.4937382.

```
Kastoryano, Michael, & Temme, Kristan.
```*Non-commutative Nash inequalities*. United States. doi:10.1063/1.4937382.

```
Kastoryano, Michael, and Temme, Kristan. Fri .
"Non-commutative Nash inequalities". United States.
doi:10.1063/1.4937382.
```

```
@article{osti_22479621,
```

title = {Non-commutative Nash inequalities},

author = {Kastoryano, Michael and Temme, Kristan},

abstractNote = {A set of functional inequalities—called Nash inequalities—are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative L{sub p} spaces, where their relationship to Poincaré and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.},

doi = {10.1063/1.4937382},

journal = {Journal of Mathematical Physics},

number = 1,

volume = 57,

place = {United States},

year = {Fri Jan 15 00:00:00 EST 2016},

month = {Fri Jan 15 00:00:00 EST 2016}

}