We discuss Arens regularity of the projective tensor product Banach algebras consisting Schatten class operators. More precisely, exploiting Ülger’s biregularity criterion, we prove that for any Hilbert space ℋ, Sp(ℋ)⊗γ Sq (ℋ) and B(S2(ℋ))⊗γ S2(ℋ) are not regular every pair 1≤p,q≤2; whereas, when ℋ is separable equipped with Schur product, show completely continuous S2(ℋ)⊗γ regular.

Human observers cannot judge heading accurately in the presence of simulated gaze rotations under many conditions [Royden et al. (1994). Vision Research, 34, 3197-3214]. They make errors in the direction of rotation with magnitudes proportional to the rotation rate. Two hypotheses have been advanced to explain this phenomenon. The extra-retinal-signal hypothesis states that the observer's estim...

The metabolism of vitamin A Formation of retinof, retinyl esters and retinal. Dietary provitamins and vitamin A are sources of tissue deposits of retinol, retinyl esters and retinal; the latter substances constitute a storage and transport system (Ganguly, 1960) which allows a continuous supply of the active form of the vitamin to be provided at whatever site it is required. T h e alcohol, alde...

When we see a stimulus of a radial flow field (the target flow) overlapped with a lateral flow field or another radial flow field, the focus of expansion (FOE) of the target radial flow appears to be shifted in a direction. Royden and Conti [(2003). A model using MT-like motion-opponent operators explains an illusory transformation in the optic flow field. Vision Research, 43, 2811-2826] argued...

this paper gives a short survey of some of the known results generalizing the theorem, credited to i. schur, that if the central factor group is finite then the derived subgroup is also finite.