L1 -space for a positive operator affiliated with von Neumann algebra linear
functionals on von Neumann algebra, and represent L1-type
space as a
space of continuous linear
Commutativity of projections and characterization of traces on Von Neumann algebras in the class of all positive normal
functionals. We obtain some characterization of a trace on von Neumann
Estimates for the norms of monotone operators on weighted Orlicz–Lorentz classes to the Lebesgue measure on R+ belong to the
weighted Orlicz
space LΦ,ν. Reduction theorems are proved, which make
Characterization of Tracial Functionals on Von Neumann AlgebrasAbstract: It is proved that the inequality (Formula presented.) characterizes tracial
functionals Conditional hypoellipticity and Fourier multipliers for weighted L_p-spaces with an exponential weight positive
function on Omega; the Sobolev
spaces above are constructed from the following
weighted L_p-
spaces The modular inequalities for hardy-type operators on monotone functions in orlicz space functionin orlicz spacewith general
weight.on
weighted Orlicz
spaces. The result is based on the theorem