  A generalized definition of quantum stochastic (QS) integrals and
differentials is given in the free of adaptiveness and dimensionality form in
terms of Malliavin derivative on a projective Fock space, and their uniform
continuity with respect to the inductive limite convergence is proved. A new
form of QS calculus based on an inductive *-algebraic structure in an
indefinite space is developed and a nonadaptive generalization of the QS Ito
formula for its representation in Fock space is derived. The problem of
solution of general QS evolution equations in a Hilbert space is solved in
terms of the constructed operator representation of chronological products,
defined in the indefinite space, and isometry and *-homomorphism property
respectively for operators and maps of these solutions, corresponding to the
peseudounitary and *-homomorphism property of the QS integrable generators is
proved.
