Operator-valued Fourier–Haar multipliers on vector-valued $${L^1}$$ spaces II: a characterisation of finite dimensionality
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DOI: 10.1007/s11117-020-00797-z
Abstract: A necessary and sufficient condition is given to ensure the boundedness of Fourier–Haar multiplier operators from $$L^1 ([0, 1], X)$$ to $$L^1 ([0, 1], Y)$$ , where X is an arbitrary finite dimensional Banach space… read more here.
Keywords: banach space; fourier haar; space; finite dimensionality ... See more keywords
Spacetime granularity from finite-dimensionality of local observable algebras
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DOI: 10.1088/1361-6382/ab5eb0
Abstract: There are important indications that nature may be locally finite-dimensional, i.e., that any spatially bounded subsystem can be described by a finite-dimensional local observable algebra. Motivated by these ideas, we show that operational spacetime topology… read more here.
Keywords: granularity finite; observable algebras; spacetime granularity; local observable ... See more keywords
Finite Dimensionality in the Non-commutative Choquet Boundary: Peaking Phenomena and C*-Liminality
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DOI: 10.1093/imrn/rnab184
Abstract: We explore the finite-dimensional part of the non-commutative Choquet boundary of an operator algebra. In other words, we seek finite-dimensional boundary representations. Such representations may fail to exist even when the underlying operator algebra is… read more here.
Keywords: finite dimensional; commutative choquet; non commutative; choquet boundary ... See more keywords