Type of research: basic Duration from: 01/01/91. to 01/01/93. Papers on project (total): 153
Institution name: Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb (37) Department/Institute: Chair of Analysis Department of Mathematics Address: Bijenička 30 City: 10000 - Zagreb, Croatia
Communication
Summary: Investigations in this research program will be a
continuation of our earlier works and will be concerned with different
parts of Functional Analysis. This will include the following areas:
operator theory in Hilbert spaces with positive and also with an
indefinite metric, spectrum of an element in Banach algebras and in
algebras of operators, similarity of operators, semigroups and cosine
operator functions, infinitesimal generators, Landau type inequalities for
infinitesimal generators, generalizations of known inequalities and
finding new inequalities and their applications, functional equations in
vector spaces and on some algebraic and topological structures,
reprezentations of Lie groups and algebras, C*-algebras over matrices,
applications of operator theory in Physics (Klein-Gordon equation),
eigenvalues of certain classes of operators, minimax properties of
eigenvalues, some variational methods in nonlinear analysis and
applications to differential equations, theorems in measure theory of
Steinhous type, summability theory and applications in probability theory,
2-normed spaces and operator theory in such spaces.