DSpace Collection: Volume 41, Number 1
http://hdl.handle.net/10525/3434
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The Logic of Quantum Mechanics
http://hdl.handle.net/10525/3473
Title: The Logic of Quantum Mechanics<br/><br/>Authors: Felouzis, V.<br/><br/>Abstract: These notes, written for the Summer school in Operator Theory (Chios 2010) provide a brief and elementary introduction to the Logic of Quantum mechanics and its connections with the theory of operators in a Hilbert space. 2010 Mathematics Subject Classification: Primary 81P10, 4703; Secondary 0101.Some Notes on Morita Equivalence of Operator Algebras
http://hdl.handle.net/10525/3472
Title: Some Notes on Morita Equivalence of Operator Algebras<br/><br/>Authors: Eleftherakis, G. K.<br/><br/>Abstract: In this paper we present some key moments in the history of Morita equivalence for operator algebras. 2010 Mathematics Subject Classification: Primary 47L40; Secondary 47L45, 47L55.EP Elements in Rings and in Semigroups with Involution and in C*-algebras
http://hdl.handle.net/10525/3471
Title: EP Elements in Rings and in Semigroups with Involution and in C*-algebras<br/><br/>Authors: Karanasios, Sotirios<br/><br/>Abstract: This work includes a survey of most of the results concerning EP elements in semigroups and rings with involution and in C*-algebras. 2010 Mathematics Subject Classification: Primary 46L05, 46J05, 46H05, 46H30, 47A05, 47A53, 47A60, 15A09, 15A33, 16A28, 16A32, 16B99,16W10; Secondary 46E25,46K05, 47A12, 47A68.Operator Algebras: an Introduction
http://hdl.handle.net/10525/3470
Title: Operator Algebras: an Introduction<br/><br/>Authors: Katavolos, Aristides<br/><br/>Abstract: The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.Shift Оperators
http://hdl.handle.net/10525/3469
Title: Shift Оperators<br/><br/>Authors: Anoussis, M. S.<br/><br/>Abstract: Shift operators play an important role in different areas of Mathematics such as Operator Theory, Dynamical Systems and Complex Analysis. In these lectures we discuss basic properties of these operators. We present Beurling’s Theorem which describes the invariant subspaces of the shift. The structure of the C *-algebra generated by the shift is described. We also indicate how the shift operators appear in the analysis of isometries on a Hilbert space: Wold decomposition and Coburn’s theorem. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47A15, 47B35.Interactions between Harmonic Analysis and Operator Theory
http://hdl.handle.net/10525/3468
Title: Interactions between Harmonic Analysis and Operator Theory<br/><br/>Authors: Todorov, I. G.<br/><br/>Abstract: The artice is a survey of several topics that have led to fruitful interactions between Operator Theory and Harmonic Analysis, including operator and spectral synthesis, Schur and Herz-Schur multipliers, and reflexivity. Some open questions and directions are included in a separate section. 2010 Mathematics Subject Classification: Primary 47L05, 47L35; Secondary 43A45.<br/><br/>Description: [Todorov I. G.; Тодоров И. Г.]The C*-algebra of a Locally Compact Group
http://hdl.handle.net/10525/3467
Title: The C*-algebra of a Locally Compact Group<br/><br/>Authors: Lin, Ying-Fen<br/><br/>Abstract: In this note, we briefly introduce the C*-algebra of a locally compact group and present some important structural results. 2010 Mathematics Subject Classification: 22D25, 22E25.Preface
http://hdl.handle.net/10525/3466
Title: Preface<br/><br/>Authors: Anoussis, M.; Argyros, S.; Todorov, I. G.