Any process that activates or increases the frequency, rate or extent of memory T cell differentiation.
Comment:
Note that immunologists typically use the word 'development' to refer to cells of B or T cell lineages undergoing the process that GO describes as 'cell differentiation'.
Synonyms:
exact_synonym:
positive regulation of memory T lymphocyte differentiation; up regulation of memory T cell differentiation; upregulation of memory T cell differentiation
narrow_synonym:
activation of memory T cell differentiation; stimulation of memory T cell differentiation