scholarly journals On the spectra of tensor product of linear operators in locally convex spaces

1975 ◽  
Vol 27 (2) ◽  
pp. 247-258
Author(s):  
Shinzo Kawamura
1975 ◽  
Vol 20 (4) ◽  
pp. 468-482 ◽  
Author(s):  
J. R. Giles ◽  
G. Joseph ◽  
D. O. Koehler ◽  
B. Sims

Numerical range theory for linear operators on normed linear spaces and for elements of normed algebras is now firmly established and the main results of this study are conveniently presented by Bonsall and Duncan in (1971) and (1973). An extension of the spatial numerical range for a class of operators on locally convex spaces was outlined by Moore in (1969) and (1969a), and an extension of the algebra numerical range for elements of locally m-convex algebras was presented by Giles and Koehler (1973). It is our aim in this paper to contribute further to Moore's work by extending the concept of spatial numerical range to a wider class of operators on locally convex spaces.


2003 ◽  
Vol 13 (07) ◽  
pp. 1649-1655 ◽  
Author(s):  
J. Bonet ◽  
F. Martínez-Giménez ◽  
A. Peris

This is a survey on recent results about hypercyclicity and chaos of continuous linear operators between complete metrizable locally convex spaces. The emphasis is put on certain contributions from the authors, and related theorems.


1972 ◽  
Vol 71 (3) ◽  
pp. 475-489 ◽  
Author(s):  
Ajit Kaur Chilana

AbstractWe consider some special operators on a locally convex Hausdorff space to itself, which have neat spectral theories and prove some perturbation results. This leads us to define and study a few special classes of locally convex spaces in which various subsets of the algebra of continuous linear operators either coincide or are closely related with each other. These are then compared to the classes of barrelled, infrabarrelled and DF-spaces and examples are given to distinguish them from one another.


2014 ◽  
Vol 17 (3) ◽  
Author(s):  
Chuang Chen ◽  
Marko Kostić ◽  
Miao Li

AbstractThe paper is devoted to the study of representation of complex powers of closed linear operators whose negatives generate equicontinuous (g α, C)-regularized resolvent families (0 < α ≤ 2) on sequentially complete locally convex spaces. Several interesting formulas regarding powers and their domains are proved.


2009 ◽  
Vol 59 (4) ◽  
Author(s):  
S. Lahrech

AbstractUsing the principle of uniform boundedness in a strictly $$ \mathcal{N} $$-locally convex spaces, we establish a Banach-Steinhaus-type result for sequentially continuous linear operators.


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