Mixing
Krein Spaces, non closed unformly definite subspace
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Im reading an article about Krein Spaces, this one: http://www.people.virginia.edu/~jlr5m/Papers/p46.pdf.
At the end of page 11 the autor claims that a closed subspace $mathfrakM$ from a krein space $mathfrakH$ is uniformly positive iff $mathfrakM$ is a
Hilbert space in the inner product of $mathfrakH$.
However i would like to obtain a non closed subspace $mathfrakN$ from a Krein Space $mathfrakH$ such that $mathfrakN$ is uniformly definite subspace.
Any help is apreciatted.
linear-algebra functional-analysis operator-theory inner-product-space
asked Jul 14 at 23:36
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134
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up vote
0
down vote
favorite
Im reading an article about Krein Spaces, this one: http://www.people.virginia.edu/~jlr5m/Papers/p46.pdf.
At the end of page 11 the autor claims that a closed subspace $mathfrakM$ from a krein space $mathfrakH$ is uniformly positive iff $mathfrakM$ is a
Hilbert space in the inner product of $mathfrakH$.
However i would like to obtain a non closed subspace $mathfrakN$ from a Krein Space $mathfrakH$ such that $mathfrakN$ is uniformly definite subspace.
Any help is apreciatted.
linear-algebra functional-analysis operator-theory inner-product-space
asked Jul 14 at 23:36
ipreferpi
134
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Im reading an article about Krein Spaces, this one: http://www.people.virginia.edu/~jlr5m/Papers/p46.pdf.
At the end of page 11 the autor claims that a closed subspace $mathfrakM$ from a krein space $mathfrakH$ is uniformly positive iff $mathfrakM$ is a
Hilbert space in the inner product of $mathfrakH$.
However i would like to obtain a non closed subspace $mathfrakN$ from a Krein Space $mathfrakH$ such that $mathfrakN$ is uniformly definite subspace.
Any help is apreciatted.
linear-algebra functional-analysis operator-theory inner-product-space
asked Jul 14 at 23:36
ipreferpi
134
Im reading an article about Krein Spaces, this one: http://www.people.virginia.edu/~jlr5m/Papers/p46.pdf.
At the end of page 11 the autor claims that a closed subspace $mathfrakM$ from a krein space $mathfrakH$ is uniformly positive iff $mathfrakM$ is a
Hilbert space in the inner product of $mathfrakH$.
However i would like to obtain a non closed subspace $mathfrakN$ from a Krein Space $mathfrakH$ such that $mathfrakN$ is uniformly definite subspace.
Any help is apreciatted.
linear-algebra functional-analysis operator-theory inner-product-space
asked Jul 14 at 23:36
ipreferpi
134
asked Jul 14 at 23:36
ipreferpi
134
asked Jul 14 at 23:36
ipreferpi
134
asked Jul 14 at 23:36
ipreferpi
134
134
add a comment |Â
add a comment |Â
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