Mf. Chen et Fy. Wang, CHEEGERS INEQUALITIES FOR GENERAL SYMMETRICAL FORMS AND EXISTENCE CRITERIA FOR SPECTRAL GAP, Chinese Science Bulletin, 43(18), 1998, pp. 1516-1518
The Cheeger's inequalities and some existence criteria for spectral ga
p and for general symmetric forms are established. The criteria are al
so extended to general reversible Markov processes but not reported he
re. Even though in the past several decades, the topics have been wide
ly studied, as far as we know the first problem in the unbounded case
and the second one in the general case remain open.