Commuting Subnormal Operators Quasisimilar to Multiplication by Coordinate Functions on ODD Spheres

Author(s):  
J. Janas
1981 ◽  
Vol 27 (95) ◽  
pp. 19-24 ◽  
Author(s):  
Robert G. Oakberg

AbstractThe object of the research is to determine whether direct methods from the calculus of variations can provide convenient approximate solutions of complex problems in glacier mechanics. The Ritz technique is used to minimize an appropriate functional. Coordinate functions obtained from a finite-element model are combined with a coordinate function that is the solution of a related problem. The finite-element coordinate functions make localized adjustments to the related solution. Solutions of two sample problems are presented. An analysis of the closure of an intergranular vein in ice at the melting point is based upon a variational principle for velocities. An analysis of the flow of ice in a cylindrical channel is based upon a variational principle for stresses.


Author(s):  
Thomas Hasanis

AbstractWe consider the extent of certain complete hypersurfaces of Euclidean space. We prove that every complete hypersurface in En+1 with sectional curvature bounded below and non-positive scalar curvature has at least (n − 1) unbounded coordinate functions.


1997 ◽  
Vol 46 (3) ◽  
pp. 0-0 ◽  
Author(s):  
Nathan S. Feldman
Keyword(s):  

Author(s):  
Mircea Martin ◽  
Mihai Putinar
Keyword(s):  

1985 ◽  
Vol 31 (2) ◽  
pp. 161-169 ◽  
Author(s):  
Takayuki Furuta

At first we investigate the similarity between the Kleinecke-Shirokov theorem for subnormal operators and the Fuglede-Putnam theorem and also we show an asymptotic version of this similarity. These results generalize results of Ackermans, van Eijndhoven and Martens. Also we show two theorems on degree of approximation on subnormal derivation ranges. These results generalize results of Stampfli on degree of approximation on normal derivation ranges. The purpose of this paper is to show that the Fuglede-Putnam-type theorem on normal operators can certainly be generalized to subnormal operators.


1976 ◽  
Vol 82 (2) ◽  
pp. 259-262
Author(s):  
John B. Conway ◽  
Robert F. Olin

1977 ◽  
Vol 24 (1) ◽  
pp. 115-118
Author(s):  
Robert F. Olin
Keyword(s):  

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