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Recent Posts
- Positive operators I 2026/06/04
- Complexification of a Real Krein Space. Part I 2026/06/01
- Pre-Hilbert space – its Dual and Completion 2026/05/29
- Fundamental Symmetries in Minkowski Krein Space 2026/05/20
- Krein spaces – a quantum-theoretical monad method 2026/05/12
- Krein spaces – first steps 2026/05/09
- Counting infinities 2026/05/03
- Infinite geometry 2026/04/24
- Recovery 2026/03/22
- Exterior algebra 2026/01/18
- Kronecker generalized deltas and Levi-Civita epsilons 2026/01/09
- It’s all about permutations 2025/12/28
- Densities 2025/12/21
- Tensors on a picnic 2025/12/14
- Tensors are geometric objects 2025/12/10
- Conformal structure – until the puppy grows up 2025/12/07
- Growing Out of the Sandbox 2025/12/02
- Blog reincarnation with analytic idealism 2025/11/30
- Minkowski patches in the Einstein universe 2025/11/27
- Floating in the Einstein Universe 2025/11/24
- Comments on Clifford algebras 2019/01/24
- Comment on “Could ordinary quantum mechanics be just fine for all practical purposes?” by Alexey Nikulov 2018/03/08
- Spinning Top – Space Odity 2017/05/28
- Geodesics of left invariant metrics on matrix Lie groups – Part 2 Conservation laws 2017/05/26
- Geodesics of left invariant metrics on matrix Lie groups – Part 1 2017/05/24
- Killing vectors, geodesics, and Noether’s theorem 2017/05/23
- SL2R as anti de Sitter space cont. 2017/05/15
- Becoming anti de Sitter 2017/05/14
- SL(2,R) Killing vector fields in coordinates 2017/05/11
- Riemannian metrics – left, right and bi-invariant 2017/05/09
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Open System – Ark's blog
Tag Archives: Hilbert space
Positive operators I
I realized that I have to diverge even more on my way to Krein spaces. We will need square roots of positive operators on real and complex Hilbert spaces, an so there is a need to discuss this subject in … Continue reading
Pre-Hilbert space – its Dual and Completion
This post is something of an interlude. I was supposed to be writing about complexification: how to turn real vector spaces into complex ones, and what that means for quantum mechanics. In the complex setting, the standard formulation of quantum mechanics is … Continue reading
Posted in Functional analysis, Krein spaces
Tagged AI, Cauchy sequences, completion, dual space, Hilbert space, Pre-Hilbert space
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