Some New Trends and Questions in White Noise Calculus

During the last decade the white noise calculus, launched out by T. Hida [8] in 1975, has developed $\mathrm{c}\mathrm{o}\mathrm{n}\mathrm{s}\mathrm{i}\mathrm{d}\mathrm{e}\mathrm{r}\mathrm{a}\iota$) $\mathrm{l}\mathrm{y} $ keeping much contact with various research fields and applications, see e.g., [10], [18], [22]. This short note is concerned with the recent achievements of operator theory on white noise spaces, in particular, from the viewpoints of quantum stochasti