I grew up in the US of A, where we drive on the right side of the road and walk down the right side of the hallway. In the UK and other countries where you drive on the left side of the road, which side of the hallway do you walk on? 
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Japan also drives on the left.
In Tokyo and areas east and north, they walk on the right whereas in Osaka and areas west and south, they walk on the left.
It’s said that the custom predates the introduction of the car.
Although it is by no means universal, in Barbados there is a definite tendency to walk on the left. It actually makes a certain sense. The sidewalks are often very narrow and the person on the left can see the coming traffic. Same reason that if you walk on a road, then along a right hand drive country you walk on left side so you see oncoming traffic.
When I lived in New Zealand after moving from the US, I found myself always bucking traffic on crowded sidewalks. I finally realized that most people were walking on the left while I tended to walk on the right. Once I understood that, I was able to navigate sidewalks more easily.
Here in Panama, where they drive on the right, people tend to walk on the right and I go with my normal flow.
I’ve done quite a bit of informed observation regarding this very question over the last few decades, in dozens of countries, and the answer is mostly that people don’t walk left in drive-left countries.
Since the majority of people in all countries are right-handed, there’s a natural tendency to keep right, especially on any paths like stairways where a handrail is involved. This can be overcome with signage, or through cultural expectation, but the natural tendency remains and can easily be observed in places like Hong Kong or Singapore Airport, which has roughly equal numbers of people from drive-left and drive-right countries.
In the US, the keep-right traffic rule is culturally reinforced very early and very strongly by school hallway rules. That doesn’t seem to be as strong an influence in other cultures.
Strange. In the 7 or so different cities I have lived across Australia and New Zealand, keeping left as a pedestrian is the most common arrangement.
I am unsure of the custom in SE Asia and India generally, but in my travels to Indonesia and India the conventions seems to be somewhat more fluid 
Which left-driving countries have you observed right-keeping pedestrians?
EDIT: As another data point, what is the common arrangement of escalators (travelators) when they are arranged side by side? This is probably very telling. In Australia, the left hand side one will generally be upwards moving.
Escalators - they swop them about on the London Underground, I think, though depending on the layout of the station it may vary according to the likely flow of people in rush hours ( so that the one or two nearest the platforms for the main flow of commuters go in the direction they’re going).
On the OP, it seems to be variable but with a slight tendency to favour the right, at least on a couple of walled-in passageways near where I live. On wider walkways, there’s no obvious pattern at all.
And then there is the overtaking lane on escalators: One place I visited, Drive left, use the left escalator to go up – – and keep to the right to allow people on your left to overtake 
UK. I’m not sure I’ve ever had to think about this very hard, but in school we were taught (/ordered) to walk on the left in the corridors. And on the London Underground, woe betide you if you don’t stand on the right and walk down the left on an escalator.
Yep, left in Australia.
I have been told by people I tend to believe, that during World War II lines were chalked down footpaths in Sydney and invigilators would tersely remind people to keep left. For the War.
Hitler really didn’t have a chance, did he?
Of course it might have had something to do with managing the vast number of American troops in town. For the War.
In the USA, I don’t notice much of any “rule” of this type outside of vehicles. Go down whatever side of the hall you want, just don’t walk into anyone. Usually, if the hall is large enough for it to be an issue (like in a mall), it’s also large enough so you can either go to their right or their left to avoid them.
On roads without side walks, go on the side opposing traffic so you can better see oncoming traffic.
Left or right I think one thing we can all agree on is what the purpose of hallways are for. Pedestrian circulation throughout a building. How you get from one place to another. Movement. Flow.
So can someone please explain this to the upper management who thought stand-up whiteboard meetings in the hallways were a good idea?
In the 1970’s we had line markings at the main intersection in Melbourne (Swanston and Flinders), and there was actually a road regulation that applied. Not many people noticed or knew what it meant…
Thailand, Japan, Malaysia, Singapore, Hong Kong, the UK, Ireland. My visits to Australia and NZ were 20 years ago, before I began paying attention to this question. (A lot of the stuff you’ll find scattered around the Web about left- and right-driving is my summarization of works by Peter Kincaid and Richard Hopper). However, a few minutes looking at Melbourne footpaths on Google Street View has not changed my opinion.
I don’t mean to suggest that left-driving practices don’t carry over into a left-walking tendency in those nations—only that the practice isn’t as strong as in right-drive countries. “Wrong-side” walkers are pretty rare in North American cities; much less so in left-drive nations. You’ll often see signs on stairways and walkways with railings in left-drive nations instructing people to “keep left.” “Keep right” instructions are much less commonly seen, as that’s the natural tendency of right-handed people.
The question also only comes up for walkways between about 2 and 6 meters in width. Narrower than that, as often found in European cities, and it’s every man for himself, just avoiding collisions. Wider than that, and there’s enough space for everyone to choose his own shortest path, as in the aforementioned shopping malls or pedestrian streets.
I watched a video yesterday of a Londoner walking through town, and he was walking on the (his) left side of the street, traffic coming from behind him (though he was on the sidewalk). I was screaming at my screen: “Walk AGAINST the traffic! Walk AGAINST the traffic!” like I was taught in elementary school.
Oh, so it’s people from your part of the country that come here for a visit and annoy us by meandering through stores and hallways any old way. The rest of us were taught to walk on the right.
Not in any school I attended (California).