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- Fundamental Symmetries in Krein Spaces 2026/07/31
- Polar Decomposition and Partial Isometries 2026/07/15
- Monotone convergence for bounded self-adjoint operators 2026/07/08
- Functoriality of the Borel Functional Calculus and Pushforward of Spectral Measures 2026/07/04
- Spectral integrals and a first taste of functional calculus 2026/07/03
- Spectral family and resolution of the identity 2026/06/25
- Square root lemma 2026/06/17
- Positive operators II 2026/06/11
- 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
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- It’s all about permutations 2025/12/28
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- 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
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Category Archives: Krein spaces
Fundamental Symmetries in Krein Spaces
We are back to indefinite metric, Krein spaces, and fundamental symmetries The pdf is here.
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
Complexification of a Real Krein Space. Part I
Introduction There is a rather unusual journal called the Journal of Humanistic Mathematics. It aims to provide an open forum for academic and informal discussions of the “human face of mathematics,” focusing on aesthetic, cultural, historical, literary, pedagogical, philosophical, psychological, … Continue reading
