Your browser does not support JavaScript!

Home    Άλγεβρες τελεστών και αναλλοίωτοι υπόχωροι  

Results - Details

Add to Basket
[Add to Basket]
Identifier 000032908
Title Άλγεβρες τελεστών και αναλλοίωτοι υπόχωροι
Alternative Title Algebras of operators and invariant subspaces
Author Σπανουδάκης, Νικόλαος Κ
Reviewer Νεγρεπόντης, Στυλιανός
Κατάβολος, Αριστείδης
Παπαδοπούλου, Σουζάνα
Συσκάκης, Αριστομένης
Φλυτζάνης, Ηλίας
Νεστορίδης, Βασίλειος
Thesis advisor Λάμπρου, Μιχαήλ
Abstract Let L be a lattice of subspaces of a topological vector space (or just, often of la Banach space) and let AlgL be the algebra of operators leaving it invariant. Several theorems are proven on the decomposability of finite rank operators of AlgL as sums of rank one operators and also theorems on their strong density within AlgL, in the case when L is a nest. In contrast, an example is given of a completely distributive subspace lattice with 18 elements where such a decomposition of finite ranks, fails. Finally the equation TX=Y is examined for T in AlgL of a nest of subspaces.
Physical description 127
Language Greek
Subject Banach space
Boolean Algebra
Boolean Άλγεβρα
Finite rank
Invariant
Nest
Operator Algebra
Subspace Lattice
Topological vector space
Άλγεβρα τελεστών
Αλυσίδα
Αναλλοίωτος
Γραμμικός Τοπολογικός χώρος
Πεπερασμένη τάξη
Σύνδεσμος υποχώρων
Χώρος Banach
Issue date 1993-06-01
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses
  Type of Work--Doctoral theses
Views 805

Digital Documents
No preview available

Download document
View document
Views : 18