Skew product of Hilbert Spaces
I’m researching into relations of Fock spaces (in particular so-called “exponential types”) and in the book “Introduction to Algebraic and Constructive Quantum Field Theory” by Segal, Baez and Zhou they write that the antisymmitrised Fock space over a direct sum of 2 Hilbert spaces is isomorphic to the “skew product” of the antisymmitrised Fock spaces of both Hilbert spaces. I’m not familiar with this operation of a skew product, it isn’t defined in the book explictely and I can’t find anything written on it in the context of Hilbert spaces. It carries the symbol of a tensor product symbol with a line underneath, that is:
$$ H_1 underline{otimes } H_2$$
Would denote the skew product of two Hilbert spaces $H_1$ and $H_2$.
Anybody know the definition of this operation?
real-analysis functional-analysis hilbert-spaces tensor-products quantum-field-theory
asked Nov 27 '18 at 17:48
CS1994
1464
add a comment |
I’m researching into relations of Fock spaces (in particular so-called “exponential types”) and in the book “Introduction to Algebraic and Constructive Quantum Field Theory” by Segal, Baez and Zhou they write that the antisymmitrised Fock space over a direct sum of 2 Hilbert spaces is isomorphic to the “skew product” of the antisymmitrised Fock spaces of both Hilbert spaces. I’m not familiar with this operation of a skew product, it isn’t defined in the book explictely and I can’t find anything written on it in the context of Hilbert spaces. It carries the symbol of a tensor product symbol with a line underneath, that is:
$$ H_1 underline{otimes } H_2$$
Would denote the skew product of two Hilbert spaces $H_1$ and $H_2$.
Anybody know the definition of this operation?
real-analysis functional-analysis hilbert-spaces tensor-products quantum-field-theory
asked Nov 27 '18 at 17:48
CS1994
1464
add a comment |
I’m researching into relations of Fock spaces (in particular so-called “exponential types”) and in the book “Introduction to Algebraic and Constructive Quantum Field Theory” by Segal, Baez and Zhou they write that the antisymmitrised Fock space over a direct sum of 2 Hilbert spaces is isomorphic to the “skew product” of the antisymmitrised Fock spaces of both Hilbert spaces. I’m not familiar with this operation of a skew product, it isn’t defined in the book explictely and I can’t find anything written on it in the context of Hilbert spaces. It carries the symbol of a tensor product symbol with a line underneath, that is:
$$ H_1 underline{otimes } H_2$$
Would denote the skew product of two Hilbert spaces $H_1$ and $H_2$.
Anybody know the definition of this operation?
real-analysis functional-analysis hilbert-spaces tensor-products quantum-field-theory
asked Nov 27 '18 at 17:48
CS1994
1464
I’m researching into relations of Fock spaces (in particular so-called “exponential types”) and in the book “Introduction to Algebraic and Constructive Quantum Field Theory” by Segal, Baez and Zhou they write that the antisymmitrised Fock space over a direct sum of 2 Hilbert spaces is isomorphic to the “skew product” of the antisymmitrised Fock spaces of both Hilbert spaces. I’m not familiar with this operation of a skew product, it isn’t defined in the book explictely and I can’t find anything written on it in the context of Hilbert spaces. It carries the symbol of a tensor product symbol with a line underneath, that is:
$$ H_1 underline{otimes } H_2$$
Would denote the skew product of two Hilbert spaces $H_1$ and $H_2$.
Anybody know the definition of this operation?
real-analysis functional-analysis hilbert-spaces tensor-products quantum-field-theory
real-analysis functional-analysis hilbert-spaces tensor-products quantum-field-theory
asked Nov 27 '18 at 17:48
CS1994
1464
asked Nov 27 '18 at 17:48
CS1994
1464
asked Nov 27 '18 at 17:48
CS1994
1464
asked Nov 27 '18 at 17:48
CS1994
1464
asked Nov 27 '18 at 17:48
CS1994
1464
1464
add a comment |
add a comment |
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