×

Monotonicity in Orlicz-Lorentz sequence spaces equipped with the Orlicz norm. (English) Zbl 1374.46020

Summary: In Orlicz-Lorentz sequence space \(\lambda_{\varphi,\omega}^\circ\), with the Orlicz norm, uniform monotonicity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in \(\lambda_{\varphi,\omega}^\circ\) are discussed.

MSC:

46B42 Banach lattices
46B45 Banach sequence spaces
Full Text: DOI