query: Fractional and complex rank hyperoperations
positive_passages.docid: 64545
positive_passages.text: Continuum between addition, multiplication and exponentiation?
negative_passages.docid: 152590
negative_passages.text: At most finitely many (Hamel) coordinate functionals are continuous - different proof
negative_passages.docid: 147793
negative_passages.text: A variation on the induced topology (subspace topology)
negative_passages.docid: 4717
negative_passages.text: The union of linear subspaces is not necessarily a subspace
negative_passages.docid: 98949
negative_passages.text: Subspaces and annihilators
negative_passages.docid: 144362
negative_passages.text: The construction of a Vitali set
negative_passages.docid: 55268
negative_passages.text: Differentiable and Continuous functions on [0,1] with 'weird' conditions.
negative_passages.docid: 30017
negative_passages.text: Orthogonality and linear independence
negative_passages.docid: 45998
negative_passages.text: The range of $T^*$ is the orthogonal complement of $\ker(T)$
negative_passages.docid: 136909
negative_passages.text: Functional Analysis: The rank of an operator detemines if it's a compact operator.
negative_passages.docid: 95234
negative_passages.text: Quasi-components in compact space
negative_passages.docid: 40858
negative_passages.text: Multiplicative nature of the separability degree
negative_passages.docid: 117476
negative_passages.text: Isometries between dual factor space and annihilator
negative_passages.docid: 102717
negative_passages.text: Real analysis of powers
negative_passages.docid: 135282
negative_passages.text: How can I construct a sequence of injections $\langle f_\alpha\colon\alpha\to\omega\mid\alpha<\omega_1\rangle$ with a particular coherence property?
negative_passages.docid: 128835
negative_passages.text: Compactness of the set of $n \times n$ orthogonal matrices
negative_passages.docid: 70887
negative_passages.text: Applications of ultrafilters