In this paper, we generalize the definition of fuzzy inner product space that is introduced by Lorena Popa and Lavinia Sida on a complex linear space. Certain properties generalized function are shown. Furthermore, prove produces Nadaban-Dzitac norm. Finally, concept orthogonality given some its proven.

In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit Calderón–Zygmund theory. This operator is different from considered by Geba et al. (Math Res Lett 20(4):675–694, 2013). We deal with lacunary full versions operator, prove weighted estimates respect to genuine weights beyond Banach range. Our results are implied sharp sparse domination for b...

given a mapping $f:xto x$ we naturally associate to it a monotonic map $gg_f:exp xto exp x$ from the power set of $x$ into itself, thus inducing a generalized topology on $x$. in this paper we investigate some properties of generalized topologies which are defined by such a procedure.

In two experiments the effect of sound on visual information was investigated. In Experiment 1 the effect of the visual appearance of product types with an expensive deign and with an inexpensive design on the experience of the sound recordings of these products was investigated. Recordings and pictures were systematically interchanged. Thus, for example, the visual image of an expensive design...