On existence of hyperinvariant subspaces for linear maps.
Concerning topologization of P(t)
On the algebras of locally compact groups
A theorem on the discrete groups and algebras
A note on -algebras
On a problem of Fell and Doran
On decomposition of a commutative p-normed algebra into a direct sum of ideals
On the divisors of zero of the group algebra
Continuous characters and joint topological spectrum
Banach's school and topological algebras
We present here some evidence of the activity of Banach Lwów School of functional analysis in the field of topological algebras. We shall list several results connected with such names as Stanisław Mazur (1905-1981), Maks (Meier) Eidelheit (1910-1943), Stefan Banach (1892-1945) and Andrzej Turowicz (1904-1989) showing that if the war had not interrupted this activity we could expect more interesting results in this direction.
An infinite dimensional Banach algebra with all but one maximal abelian subalgebras of dimension two
I construct a unital closed subalgebra of with the property announced in the title. Moreover, for any two maxiamal abelian subalgebras of the algebra in question, their intersection consists only of scalar multiples of the unity.
A -algebra without generalized topological divisors of zero
Topologically Invertible Elements and Topological Spectrum
Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion is continuous in every invertive Fréchet algebra, and singly generated unital semitopological algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented.
is generated in strong operator topology by two of its elements
Page 1