Rota-Baxter operators appeared in the work of Baxter [3] on differential operators on commutative

Banach algebras, being particularly useful in relation to the Spitzer identity.

The topics include generalization of C*-algebra methods via real positivity for operator and

Banach algebras, higher weak derivatives and reflexive algebras of operators, spectral multiplicity and odd K-theory-II, the topology of natural numbers and entropy of arithmetic functions, Hochschild cohomology for tensor products of factors, and the structure and applications of real C*-algebras.

Lashkarizadeh Bami, The multiplier algebra and BSE property of the direct sum of

Banach algebras, Bull.

By the middle of the summer of 1958 I finished writing my Diploma thesis: a theorem of decomposition of an anti-symmetric

Banach algebra into a direct sum of two symmetric

Banach algebras which Foias and myself proved.

Among his topics are elements of measure theory, a Hilbert space interlude, linear transformations, locally convex spaces, and

Banach algebras and spectral theory.

To be able to apply methods from the theory of

Banach algebras to the solution of those problems, it is essential to determine if a class of linear operators of a sequence space X into itself is a

Banach algebra; this is nontrivial if X is a BK space that does not have AK.

She covers normed spaces and operators, Frechet spaces and Banach theorems, duality, weak topologies, distributions, the Fourier transform and Sobolev spaces,

Banach algebras, and unbounded operators in a Hilbert space.

Dales,

Banach Algebras and Automatic Continuity, London Mathematical Society Monographs, New Series, 24.

Remember that a linear function between

Banach algebras [phi]: [B.

Automatic continuity results for linear maps on

Banach algebras, Preprint,1992

Twenty five years ago Johnson, Kadison, and Ringrose initiated the study of cohomology in

Banach algebras and operator algebras in a series of papers [13,14,15,16,17].

This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis,

Banach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations.