Intro -- Contents -- Preface -- List of Participants -- Conference Lectures -- Topologisation et multiplication dans certaines algèbres -- On Serre-Swan-Mallios theorem -- Topological algebras with idempotently pseudoconvex von Neumann bornology -- Hyers-Ulam-Rassias stability of derivations on Hilbert C* -modules -- On extensions of Stone-Weierstrass theorem -- On Qt-algebras -- Some results on the algebraic approach to quantum dynamics -- Topological algebras and differential structures in C* -algebras -- On C* -spectrality of locally convex *-algebras in C* -algebras -- Pták function, positive elements and the positive cone of a unital LC *-algebra -- Topologizable operators on locally convex spaces -- On locally convex H*-triple systems -- Harmonic functional calculus in m-p-complete A-p-normed algebras -- A concept of finiteness in topological algebras -- Square roots of strongly positive elements in lmc algebras -- Harmonic functions operating on contractions in m-convex algebras -- Some characterizations using cone notions in m-convex algebras -- On the completion of a C* -normed algebra under a locally convex algebra topology -- On Šilov's idempotent theorem -- On generalized Ambrose algebras -- Tensor products in quantum functional analysis: the non-matricial approach -- Unbounded conditional expectations for O* -algebras -- A Radon-Nikodym theorem for completely multi-positive linear maps and its applications -- Commutativity criteria for Gelfand-Mazur algebras -- Topological algebras and quantum cosmology [the Abstract] -- Representation of extensions, of C, endowed with a discrete absolute value -- Another proof of the Shirali-Ford theorem -- On algebra spaces -- On combinatorially regular topological algebras -- Topological algebras with continuous characters -- Spectral decomposition and duality in commutative locally C* -algebras. Locally A-convex algebras revisited -- On different versions of Vidav-Palmer theorem -- On combinatorially regular Fréchet algebra -- Description of closed maximal one-sided ideals in several classes of real Gelfand-Mazur algebras -- Strictly flat cyclic Fréchet modules and approximate identities -- Homologically trivial Fréchet algebras -- On strictly flat Fréchet modules -- Uniform algebra isomorphisms and peripheral spectra -- Bounded and strongly bounded elements in Banach quasi *-algebras -- On dual coordinate systems -- Operator algebras on locally convex spaces.