Proceedings of the 8th International Conference of Topological Algebras and Their Applications (ICTAA-2014) took place from May 26-30, 2014, in Playa de Villas de Mar Beach, honoring Anastasios Mallios. This conference series began in 1999 in Tartu, Estonia, with subsequent events in Rabat, Morocco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005), and Tartu, Estonia (2008 and 2013). The conference covered a wide range of mathematical topics related to topological algebras and their applications, including various topological-algebraic structures like topological linear spaces, rings, modules, groups, and semigroups, as well as bornological-algebraic structures and K-theory. Key contents include findings on spectral properties of unital algebras, descriptions of closed maximal one-sided ideals in topological algebras, non-self-adjoint operators defined by Riesz bases, and functional calculus on operator algebras. The proceedings also discuss Gelfand-Naimark type theorems for abelian algebras, multipliers in locally m-pseudo-convex algebras, and homologically best modules in functional analysis. Additional topics include operator inequalities, embedding theorems for symmetric spaces, linear mapping class groups, and properties of topological *-algebras. The dense ideals in topological algebras and the dominated ergodic theorem for isometries of non-commutative Lp-spaces are als
