Mazur spaces.
Mazur-like topological linear spaces and their products
Topological linear spaces having the property that some sequentially continuous linear maps on them are continuous, are investigated. It is shown that such properties (and close ones, e.g., bornological-like properties) are closed under large products.
Mazur-Orlicz equality
A remarkable theorem of Mazur and Orlicz which generalizes the Hahn-Banach theorem is here put in a convenient form through an equality which will be referred to as the Mazur-Orlicz equality. Applications of the Mazur-Orlicz equality to lower barycenters for means, separation principles, Lax-Milgram lemma in reflexive Banach spaces, and monotone variational inequalities are provided.
Mazur-Ulam Theorem
The Mazur-Ulam theorem [15] has been formulated as two registrations: cluster bijective isometric -> midpoints-preserving Function of E, F; and cluster isometric midpoints-preserving -> Affine Function of E, F; A proof given by Jussi Väisälä [23] has been formalized.
M-bases in spaces of continuous functions on ordinals
We prove, among other things, that the space C[0,ω₂] has no countably norming Markushevich basis. This answers a question asked by G. Alexandrov and A. Plichko.
M-complete approximate identities in operator spaces
This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai’s generalize central approximate identities in ideals in C*-algebras, for it is proved that if X admits an M-cai in Y, then X is a complete M-ideal in Y. It is proved, using ’special’ M-cai’s, that if J is a nuclear ideal in a C*-algebra A, then J is completely complemented in Y for any (isomorphically) locally reflexive operator space Y with J ⊂ Y ⊂ A and...
m-convexité dans le corps C(X).
MD-numbers and asymptotic MD-numbers of operators.
Mean Ergodicity of Power-Bounded Operators in Countably Order Complete Banach Lattices.
Mean growth and Taylor coefficients of some topological algebras of analytic functions
Mean Oscillation of Functions and the Paley-Wiener Space.
Mean value theorem for convex functionals
Means and convex combinations of unitary operators.
Means of vector-valued functions and projections which commute with the action of a group
Means on -subspaces of with RNP and Schur property
Let be a locally compact abelian group and be the space of bounded convolution...
Means with values in a Banach lattice.
Measurability and Pettis integration in Hilbert spaces.
Measurability of functions with values in partially ordered spaces
Measurability of linear operators in the Skorokhod topology.
Measurable bundles of -algebras.