SVIBOR - Project code: 1-01-243

MINISTRY OF SCIENCE AND TECHNOLOGY

Strossmayerov trg 4, HR - 10000 ZAGREB
tel.: +385 1 459 44 44, fax: +385 1 459 44 69
E-mail: ured@znanost.hr

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Project code: 1-01-243


FUNCTIONAL ANALYSIS


Main researcher: KUREPA, SVETOZAR (24833)



Assistants
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.

Keywords: operator theory, Hilbert space, Banach space, spectrum, algebra of operators, semigroup, cosine operator equation, infinitesimal generator, inequalities, functional equation, Lie group, C*-algebras, measure, summability, 2-normed space.


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Last update: 10/18/95
Information: svibor@znanost.hr