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Frames and Bases in Tensor Product of Hilbert Spaces
Frame bases Tensor product Frame operator Dual frame Hilbert space
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2012/4/17
In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respecti...
More on the Normality of the Unbounded Product of Two Normal Operators
Unbounded operators. Selfadjoint and normal operators. Operator products
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2012/2/29
Let $A$ and $B$ be two -non necessarily bounded- normal operators. We give conditions making their product normal. This is a continuation of recently obtained results on this subject.
Distortion of wreath product in Thompson's group F
Thompson's group F restricted wreath product quasi-isometrically embedded
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2011/10/20
Distortion of subgroups in finitely generated groups is a topical subject in geometric group theory.Thompson's group F has important tools of reduced tree diagrams and reduced forest diagrams. Using t...
Continuous Selection, Collectively Fixed Points and System of Coincidence Theorems in Product Topological Spaces
continuous selection collectively fixed point $FC$-space
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2007/12/11
Some new continuous selection theorems are first proved in noncompact topological spaces. As applications, some new collectively fixed point theorems and coincidence theorems for two families of set-...