Square Integrable Functions With Respect To A Vector Measure

The authors are members of a Research Group on Functional Analysis that it is interdisciplinary research group mainly devoted to the study of mathematical problems in the area of the functional analysis and applications of this subject to other areas both of theoretical and applied science, as quantum mechanics and signal analysis in acoustics. The background of the members of this team is mainly functional analysis, physics and topology. Nowadays regarding the research in mathematics their publications are mainly devoted to classical and new problems of the general theory of Banach lattices, operator theory, vector measures and integration, and quantum scattering theory. Also applications of the so called non symmetric topology in the context of the functional analysis have been developed by the members of the group in recent years. Simultaneously, an applied project for the signal analysis of acoustic spectra that gives mathematical support to a research group in experimental physics of our university is being developed at the moment. and Applications to Physics .