Browsing by Author "Mustafayev, H.S."

Now showing 1 - 3 of 3

Compact Operators in the Commutant of Essentially Normal Operators
(Tusi Mathematical Research Group (TMRG), 2014) Mustafayev, H.S.; Hüseynov, F.B.
Let T be a bounded, linear operator on a complex, separable, infinite dimensional Hilbert space H. We assume that T is an essentially isometric (resp. normal) operator, that is, IH-T*T (resp. TT*-T*T) is compact. For the compactness of S from the commutant of T, some necessary and sufficient conditions are found on S. Some related problems are also discussed.
On Some Properties of Deddens Algebras
(2003) Karaev, M.T.; Mustafayev, H.S.
Deddens algebras and Shulman subspaces are introduced and their properties are studied. The descriptions of Deddens algebras associated with nilpotent and idempotent elements are given. © 2003 Rocky Mountain Mathematics Consortium.
Segal Algebra as an Ideal in Its Second Dual Space
(1999) Mustafayev, H.S.
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication. © TÜBİTAK.