6 papers
Lossless Compression for LLM Tensor Incremental Snapshots
Daniel Waddington, Cornel Constantinescu
During the training of Large Language Models (LLMs), tensor data is periodically "checkpointed" to persistent storage to allow recovery of work done in the event of failure. The vo…
Uniqueness of W*-tensor Products
Corneliu Constantinescu
In contrast to C*-algebras, distinct C*-norms on the algebraic tensor product of two W*-algebras produce isomorphic W*-tensor products
The double commutation theorem for selfdual Hilbert right W*-modules
Corneliu Constantinescu
Let E be a W*-algebra, H a selfdual Hilbert right E-module, L(H) the W*-algebra of adjointable operators on H, and F an involutive unital subalgebra of L(H). We prove that the doub…
Compact Operators on Hilbert right modules
Corneliu Constantinescu
We generalize some results on compact operators on Hilbert spaces to "compact" operators on some Hilbert right W*-modules. We present in this frame the Schatten decomposition of th…
Axiomatic theory for C*-algebras
Corneliu Constantinescu
We present an axiomatic frame (in Prt I of this book) in which many results of the K-theory for C*-algebras are proved. Then we construct an example for this axiomatic theory (in P…
Projective representations of groups using Hilbert right C*-modules
Corneliu Constantinescu
The projective representation of groups was introduced in 1904 by Issai Schur. It differs from the normal representation of groups by a twisting factor. It starts with a group T an…