Krein’s Theorem

2020 ◽  
pp. 113-117
Author(s):  
Jürgen Voigt
Keyword(s):  
Krein’S Theorem

Continuous Infinite Analogue of Krein’s Theorem

2003 ◽  
pp. 205-226
Author(s):  
Robert L. Ellis ◽  
Israel Gohberg
Keyword(s):  
Krein’S Theorem

scholarly journals The single-site Green’s function and Krein’s theorem

2014 ◽  
Vol 26 (27) ◽  
pp. 274208 ◽  
Author(s):  
Yang Wang ◽  
G Malcolm Stocks ◽  
J S Faulkner
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Single Site ◽  
Krein’S Theorem

scholarly journals A quantitative version of Krein’s Theorem

2005 ◽  
pp. 237-248 ◽  
Author(s):  
M. Fabian ◽  
P. Hájek ◽  
Vicente Montesinos ◽  
V. Zizler
Keyword(s):  
Quantitative Version ◽  
Krein’S Theorem

Krein's theorem without sequential convergence

1967 ◽  
Vol 174 (3) ◽  
pp. 157-162 ◽  
Author(s):  
S. Simons
Keyword(s):  
Sequential Convergence ◽  
Krein’S Theorem

Locally convex topologies and the convex compactness property

1974 ◽  
Vol 75 (1) ◽  
pp. 45-50 ◽  
Author(s):  
E. G. Ostling ◽  
A. Wilansky
Keyword(s):  
Compact Set ◽  
Compactness Property ◽  
Original Topology ◽  
Krein’S Theorem ◽  
Locally Convex Topologies ◽  
The Subject ◽  
Convex Compactness ◽  
Convex Closure ◽  
Bounded Sets ◽  
Locally Convex

1. Introduction. A locally convex space is said to have the convex compactness property (sometimes abbreviated to cc) if the absolutely convex closure of each compact set is compact. This important property is the subject of Krein's theorem (3) 24.5(4′). It is strictly weaker than bounded completeness and can sometimes be substituted for that assumption; for example, a useful result, related to the Banach–Mackey theorem, says that in a space with cc, all admissible topologies have the same bounded sets (5). As another example, it is well known that if X is bornological, X′ is strongly complete (see (1), theoreml); but if X has cc as well, we can strengthen this result to conclude, (2) 19C, that X′ is complete with its Mackey topology, indeed with the topology Ta (using the notation of section 3), where T is the original topology of X.

Application of Krein’s theorem and bifurcation theory for stability analysis of a bladed rotor

Meccanica ◽  
2014 ◽  
Vol 49 (6) ◽  
pp. 1507-1526 ◽  
Author(s):  
Asghar Najafi ◽  
Mohammad-Reza Ghazavi ◽  
Ali-Asghar Jafari
Keyword(s):  
Stability Analysis ◽  
Bifurcation Theory ◽  
Krein’S Theorem ◽  
Bladed Rotor

Reformulations of Krein’s Theorem

2003 ◽  
pp. 29-36
Author(s):  
Robert L. Ellis ◽  
Israel Gohberg
Keyword(s):  
Krein’S Theorem
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