Analysis of bounded sets in a topological tensor product

1972 ◽  
Vol 75 (4) ◽  
pp. 176-188 ◽  
Author(s):  
Kamal Kant Jha
Keyword(s):  
Tensor Product ◽  
Bounded Sets ◽  
Topological Tensor ◽  
Topological Tensor Product

scholarly journals Topological tensor product of bimodules, complete Hopf algebroids and convolution algebras

2019 ◽  
Vol 21 (06) ◽  
pp. 1850015
Author(s):  
Laiachi El Kaoutit ◽  
Paolo Saracco
Keyword(s):  
Tensor Product ◽  
Continuous Homomorphism ◽  
Lie Algebroid ◽  
Connected Manifold ◽  
Convolution Algebra ◽  
Hopf Algebroid ◽  
Convolution Algebras ◽  
Hopf Algebroids ◽  
Topological Tensor ◽  
Topological Tensor Product

Given a finitely generated and projective Lie–Rinehart algebra, we show that there is a continuous homomorphism of complete commutative Hopf algebroids between the completion of the finite dual of its universal enveloping Hopf algebroid and the associated convolution algebra. The topological Hopf algebroid structure of this convolution algebra is here clarified, by providing an explicit description of its topological antipode as well as of its other structure maps. Conditions under which that homomorphism becomes an homeomorphism are also discussed. These results, in particular, apply to the smooth global sections of any Lie algebroid over a smooth (connected) manifold and they lead a new formal groupoid scheme to enter into the picture. In the appendices we develop the necessary machinery behind complete Hopf algebroid constructions, which involves also the topological tensor product of filtered bimodules over filtered rings.

Reference Signal Based Tensor Product Expansion for EOG-Related Artifact Separation in EEG

2017 ◽  
Vol E100.A (11) ◽  
pp. 2230-2237
Author(s):  
Akitoshi ITAI ◽  
Arao FUNASE ◽  
Andrzej CICHOCKI ◽  
Hiroshi YASUKAWA
Keyword(s):  
Tensor Product ◽  
Reference Signal

On degeneracy problem of NFSRs via semi-tensor product

2020 ◽  
Author(s):  
Xinyu Zhao ◽  
Biao Wang ◽  
Shuqian Zhu ◽  
Jun-e Feng
Keyword(s):  
Tensor Product ◽  
Degeneracy Problem

On the Buchstaber Subring in MSp∗

1998 ◽  
Vol 5 (5) ◽  
pp. 401-414
Author(s):  
M. Bakuradze
Keyword(s):  
Tensor Product ◽  
Characteristic Classes ◽  
Generalized Quaternion ◽  
Symplectic Cobordisms

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.

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