ABSTRACT
This conclusion presents some closing thoughts on concepts discussed in the preceding chapters of this book. The book opens innovative opportunities for a variety of practical fields, for example, when operator equations, which include differential and integral equations, are solved and these solutions are applied to different practical problems. Obtained results also explicate new directions for further research and development. The book has developed the theory of hypernumbers in a much more general framework than it was done before, namely, taking as basic construct a normed vector space and not only real or complex numbers. This makes it possible to build generalized hypernumbers called P-hypernumbers, different properties of which are obtained bringing us to the following algebraic, analytic and topological problems. The book plays an indispensable role in functional analysis, modern physics and other sciences, are studied as particular cases of hypernormed and hyperseminormed vector spaces.
