In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on $C^{*}$-semi-inner product spaces.

Recent developments in medicine have given us a better insight into a group of disorders known as autoimmune diseases. In particular, advances have occurred in our understanding of the Autoimmune Inner Ear Disease (AIED). In this article, the authors review the different postulated theories in the pathogenesis of this disease. The clinical presentation, the available para-clinical diagnostic to...

we investigate some properties of approximately quasi inner generalized dynamics and quasi approximately inner generalized derivations on modules. in particular, we prove that if a is a c*-algebra, is the generator of a generalized dynamics on an a-bimodule m satisfying and there exist two sequences of self adjoint elements in a such that for all in a core for , , then is approximately quasi in...

this article reviews clinically relevant data regarding punctate inner choroidopathy, mainly the various treatment options. punctate inner choroidopathy is an uncommon, inflammatory, multifocal chorioretinopathy affecting mostly young myopic women. it is characterized by the presence of multiple, small, well-defined, yellow-white fundus lesions, in the absence of intraocular inflammation. we de...

The effect of Triton X-100, Na cholate and Tween 80 on the solubilization of integral membrane proteins in intact cells, spheroplasts and inner-membrane fragments of Salmonella typhimurium was studied. The detergents were used in various concentrations (1.6 to 64 mM) and cytochromes b and d were used as marker to monitor the solubilization of membrane-bound proteins. Results showed that no inne...

In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner l...

In the present paper, we investigate a connection between two fuzzy inner product one of which arises from Felbin's fuzzy norm and the other is based on Bag and Samanta's fuzzy norm. Also we show that, considering a fuzzy inner product space, how one can construct another kind of fuzzy inner product on this space.

due to the complex structure of the pressure-adjusting device used in most sprinklersfor variable irrigation, it is not possible to observe the flow behavior of the water passingthrough the flow field. in this paper, an integral three dimensional (3d) numerical modelbased on the structural characteristics of the fluidic sprinkler was constructed to simulatethe flow field distribution using comp...